Question

9*8^3x=396 I need to know the steps to solve this using logarithms

231

likes
1157 views

Answer to a math question 9*8^3x=396 I need to know the steps to solve this using logarithms

Expert avatar
Jayne
4.4
105 Answers
1. Divide both sides by 9:

8^{3x} = \frac{396}{9}

8^{3x} = 44

2. Take the logarithm of both sides:

\log(8^{3x}) = \log(44)

3. Apply the power rule for logarithms:

3x \cdot \log(8) = \log(44)

4. Solve for \( x \):

x = \frac{\log(44)}{3 \cdot \log(8)}
x≈0.6067

Frequently asked questions (FAQs)
Question: In a right triangle, if the length of the adjacent side is 5 and the length of the hypotenuse is 13, find the measure of the angle using the SOH CAH TOA rule.
+
What is the equation of the logarithmic function with a vertical asymptote at x = -2 and a y-intercept at (0,1)?
+
What is the relationship between the measures of angles in an isosceles triangle?
+
New questions in Mathematics
2(2+2x)=12
5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight
1 plus 1
How long will it take for $900 to become $5000 at an annual rate of 11.15% compounded bimonthly?
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
15/5+7-5
I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?
find f(x) for f'(x)=3x+7
. What will be the osmotic pressure of a solution that was prepared at 91°F by dissolving 534 grams of aluminum hydroxide in enough water to generate 2.784 ml of solution.
using the math and science known about the jefferson river bridge Find a truss in use and develop a load diagram. Use a load of 50 lb on each joint along the bottom of the truss for a truss that actrs as a bridge and along the top joints for a truss that acts as a roof
How to do 15 x 3304
7=-4/3y -1
A teacher has 25 red and yellow counters altogether. She has 4 times as many red counters than yellow counters. How many yellow counters does the teacher have?
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Pablo has a balance of $440,000 and 2/5 of the money is used to pay bills. How much money do you have left after paying the bills?
(6²-14)÷11•(-3)
A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation μ = 4.10 and standard deviation σ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2
The domain of the function f(x)=x+7x2−144 is (−∞,), ( ,), and ( , ∞).