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

Option 3rd is correct

`3^2 = x+5`

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`