Question

Which equation is equivalent to log3(x+5)=2
3^2=[ log3(x+5) ]^3
2^3=[ log3(x+5) ]^2
3^2= x+5
2^3= x+5

Answer 1

the answer is C. 3^2 = x+5

Answer 2

Answer:

Option 3rd is correct

$3^2 = x+5$

Step-by-step explanation:

Using the logarithmic rules:

if $\log_b x = a$

then;

$x = b^a$

Given the equation:

$\log_3 (x+5) = 2$

Apply the logarithmic rules we have:

$x+5 = 3^2$

or

$3^2 = x+5$

Therefore, an equation that is equivalent to $\log_3 (x+5) = 2$ is, $3^2 = x+5$