Question

Match all 6 exponential equations to the corresponding logarithmic equations

Answer 1

From the question, we want to change from exponent form to logarithmic form.

To do this, the base of the exponent form remains the base of the logarithmic form, then the exponent becomes written outside, so we have

`\begin{gathered} 3^x=5\text{ } \\ becomes\text{ } \\ log_35=x \end{gathered}`

next

`\begin{gathered} 5^x=3 \\ becomes\text{ } \\ log_53=x \end{gathered}`

next

`\begin{gathered} 3^5=x \\ becomes\text{ } \\ log_3x=5 \end{gathered}`

next

`\begin{gathered} x^5=3 \\ becomes\text{ } \\ log_x3=5 \end{gathered}`

next

`\begin{gathered} 5^3=x \\ becomes\text{ } \\ log_5x=3 \end{gathered}`

and the last

`\begin{gathered} x^3=5 \\ becomes \\ log_x5=3 \end{gathered}`