Question

solving equations using properties of logarithms ccsd pre - calculus cp ic 25 - 26 which statement is true for logs(x + 1)=2? 2(x + 1)=3 x + 1=3^2 x + 1=2^3 3(x + 1)=2

Explanation:

Step1: Recall log - exponent conversion

The logarithmic equation $\log_{a}b = c$ is equivalent to the exponential equation $b=a^{c}$. For the equation $\log_{3}(x + 1)=2$, by the definition of logarithms, if $y=\log_{a}x$ then $x = a^{y}$. Here $a = 3$, $y=2$ and $x=x + 1$.

Step2: Convert to exponential form

We get $x + 1=3^{2}$.

Answer:

$x + 1=3^{2}$