Iam having trouble 2(10-13x)=-34x+60

Simplifying 2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
 Reorder the terms: 20 + -26x = 60 + -34x
 Solving 20 + -26x = 60 + -34x
 Solving for variable 'x'.
 Move all terms containing x to the left, all other terms to the right.
 Add '34x' to each side of the equation. 20 + -26x + 34x = 60 + -34x + 34x
 Combine like terms: -26x + 34x = 8x 20 + 8x = 60 + -34x + 34x
 Combine like terms: -34x + 34x = 0 20 + 8x = 60 + 0 20 + 8x = 60
Add '-20' to each side of the equation. 20 + -20 + 8x = 60 + -20
 Combine like terms: 20 + -20 = 0 0 + 8x = 60 + -20 8x = 60 + -20
 Combine like terms: 60 + -20 = 40 8x = 40
 Divide each side by '8'. x = 5
 Simplifying x = 5

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!