Question

Two minus log 3X equals log (X over 12)

260

likes
1299 views

Answer to a math question Two minus log 3X equals log (X over 12)

Expert avatar
Hermann
4.6
126 Answers
$\log_{ 10 }({ {10}^{2} })-\log_{ 10 }({ 3x })=\log_{ 10 }({ \frac{ x }{ 12 } })$
$\log_{ 10 }({ \frac{ {10}^{2} }{ 3x } })=\log_{ 10 }({ \frac{ x }{ 12 } })$
$\log_{ 10 }({ \frac{ 100 }{ 3x } })=\log_{ 10 }({ \frac{ x }{ 12 } })$
${10}^{\log_{ 10 }({ \frac{ 100 }{ 3x } })}={10}^{\log_{ 10 }({ \frac{ x }{ 12 } })}$
$\frac{ 100 }{ 3x }={10}^{\log_{ 10 }({ \frac{ x }{ 12 } })}$
$\frac{ 100 }{ 3x }=\frac{ x }{ 12 }$
$\begin{array} { l }x=-20,\\x=20\end{array}$
$\begin{array} { l }2-\log_{ 10 }({ 3 \times \left( -20 \right) })=\log_{ 10 }({ \frac{ -20 }{ 12 } }),\\x=20\end{array}$
$\begin{array} { l }2-\log_{ 10 }({ 3 \times \left( -20 \right) })=\log_{ 10 }({ \frac{ -20 }{ 12 } }),\\2-\log_{ 10 }({ 3 \times 20 })=\log_{ 10 }({ \frac{ 20 }{ 12 } })\end{array}$
$\begin{array} { l }\textnormal{Undefined},\\2-\log_{ 10 }({ 3 \times 20 })=\log_{ 10 }({ \frac{ 20 }{ 12 } })\end{array}$
$\begin{array} { l }\textnormal{Undefined},\\0.221849=0.221849\end{array}$
$\begin{array} { l }x≠-20,\\0.221849=0.221849\end{array}$
$\begin{array} { l }x≠-20,\\x=20\end{array}$
$x=20$

Frequently asked questions (FAQs)
What is the sum of the measures of the angles in a scalene triangle where two angles measure 40° and 80°?
+
Math question: In a right triangle, the length of one leg is 8 units and the hypotenuse is 10 units. Find the length of the other leg.
+
What are the roots of the cubic equation 2x^3 + 5x^2 - 3x + 1 = 0?
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
12-6x=4x+2
3(2+x)-2(2x+6)=20-4x
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?
find all matrices that commute with the matrix A=[0 1]
Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?
Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?
1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
(X+2)(x+3)=4x+18
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?
t+72/t=-17