Question

Rewrite 3^x = 27 as a logarithmic equation. logx27 = 3 log3x = 27 log27x = 3 log327 = x

Answer 1

Given,

The expression is:

`3^x=27`

Required:

The logarithm equation of the given equation.

The exponential equation is converted to logarithm form.

`\begin{gathered} a^m=b \\ log_ab=m \end{gathered}`

Taking the expression as:

`\begin{gathered} 3^x=27 \\ log_327=x \end{gathered}`

Hence, the logarithm expression is log_3 (27) = x.