Write the exponential equation as an equation involving a logarithm.
-$$4 ^ { 5 / 2 } = 32$$
A) $\log _ { 32 } 4 = \frac { 5 } { 2 }$
B) $\log _ { 4 } 32 = \frac { 5 } { 2 }$
C) $\frac { \log _ { 2 } 32 } { \log _ { 5 } 4 } = 4$
D) $\log _ { 5 } 4 = \frac { 5 } { 2 }$

Question

Quizplus · Accepted Answer

To convert the exponential equation $4^{5/2} = 32$ to a logarithmic form, we use the definition of a logarithm: if $a^b = c$, then $\log_a c = b$. Applying this to the given equation, we get $\log_4 32 = \frac{5}{2}$, which matches choice B.

Write the Exponential Equation as an Equation Involving a Logarithm 45/2=324 ^ { 5 / 2 } = 3245/2=32

Write the Exponential Equation as an Equation Involving a Logarithm $4 ^ { 5 / 2 } = 32$