Question

use the properties of logarithms to find the value of x in the following must show your work on your worksheet!
2·log₉x = 6
select an answer hint: isolate log first then change to ex
submit question
question 22
use the properties of logarithms to find the value of x in the following must show your work on your worksheet!
log₇7⁸ = x
select an answer

Explanation:

Step1: Isolate the logarithm term

Divide both sides by 2: $\log_{9}x = \frac{6}{2} = 3$

Step2: Convert to exponential form

Using $\log_b a = c \iff b^c = a$: $x = 9^3$

Step3: Calculate the value

$9^3 = 9 \times 9 \times 9 = 729$

Step4: Solve the second equation

Use $\log_b b^k = k$: $x = 8$

Answer:

For $2 \cdot \log_{9}x = 6$: 729
For $\log_{7}7^8 = x$: 8