Chapter 4.4, Problem 2QR

To determine

To calculate:The given value in terms of power of e .

Answer to Problem 2QR

The answer as power of e is $e^{\ln 7^x}$ .

Explanation of Solution

Given information:The value is given as,

  $7^x$

Formula used: The formula used to convert any base logarithm into another base logarithm is given as,

  ${\log }_{b}x=\frac{{\log }_{a}x}{{\log }_{a}b}$ ...........(1)

Calculation:Using the equation given in equation (1),

  $\begin{array}{l}y=7^x\\ \text{Take}\text{ln}\text{both}\text{sides,}\\ \ln y=\ln 7^x\\ y=e^{\ln 7^x}\end{array}$

The given value is converted as $e^{\ln 7^x}$ .