Change the exponential expression to an equivalent expression involving a logarithm.
-$2.3 ^ { x + 5 } = 15$
A) $\log _ { ( x + 5 ) } 15 = 2.3$
B) $\log _ { 15 } ( x + 5 ) = 2.3$
C) $\log _ { 2.3 } 15 = x + 5$
D) $\log _ { 2.3 } x = 10$

Question

Quizplus · Accepted Answer

The correct transformation from the given exponential equation $2.3^{x+5} = 15$ to a logarithmic form is $\log_{2.3} 15 = x + 5$, which matches option C. This follows from the definition of logarithms: if $a^b = c$, then $\log_a c = b$.

Change the Exponential Expression to an Equivalent Expression Involving a Logarithm