Question

which equation is equivalent to $2^{3x} = 10$? $\log 3x = 2$ $\log_{2} 10 = 3x$ $\log 2 = 3x$ $\log_{2} 3x = 10$

Explanation:

Step1: Recall Logarithmic Definition

The definition of a logarithm states that if \(a^b = c\) (where \(a>0,a
eq1\)), then \(\log_a c = b\).

Step2: Apply to Given Equation

Given the equation \(2^{3x}=10\), here \(a = 2\), \(b = 3x\), and \(c = 10\). Applying the logarithmic definition, we get \(\log_2 10=3x\).

Answer:

B. \(\log_{2}10 = 3x\)