Question

Which logarithmic equation is equivalent to this exponential equation? 25 = 32^r

log, 32 = r 10832 1 = 2
O log322 = 1

O log _32 25 = r

Answer 1

The logarithmic equation equivalent to the exponential equation 25 = 32^r is log32 25 = r.

Step-by-step explanation:

The equivalent logarithmic equation to the exponential equation 25 = 32^r is log32 25 = r.

To solve this equation, we use the logarithm property that states the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. Applying this property, we take the logarithm base 32 of both sides of the equation.

Therefore, the equivalent logarithmic equation to 25 = 32^r is log32 25 = r.