Question

Solve the equation log6(13 – x) = 1.

Answer 1

Answer:

x = 7

Step-by-step explanation:

Using the logarithmic rules:

if $\log_b x = a$

then

$x = b^a$

Given the equation:

$\log_6 (13-x) = 1$

Using logarithmic rules we have;

$13-x = 6^1$

Simplify:

$13-x = 6$

Subtract 13 from both sides we have;

-x = -7

Divide both sides by -1 we have;

x = 7

Therefore, the solution for the given equation is, 7