Question

solve $3^{x + 1} = 15$ for $x$ using the change of base formula $log_{b} y = \frac{log y}{log b}$.\
\

• $-0.594316$\
• $1.405684$\
• $1.464973$\
• $3.469743$

Explanation:

Step1: Take log of both sides

$\log(3^{x+1}) = \log(15)$

Step2: Apply log power rule

$(x+1)\log(3) = \log(15)$

Step3: Isolate $x+1$

$x+1 = \frac{\log(15)}{\log(3)}$

Step4: Calculate the log ratio

$\frac{\log(15)}{\log(3)} \approx 2.464973$

Step5: Solve for x

$x = 2.464973 - 1$

Answer:

1.464973