   Chapter 11.1, Problem 36E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 25-38, find y'. y = log 5 x

To determine

To calculate: The value of y for the function y=log5x.

Explanation

Given Information:

The provided function is y=log5x.

Formula Used:

The change of base formula is such that, for logbM=logaMlogab, where a, b are the base of logarithm and M is any positive number.

Coefficient rule for a constant c is such that, if f(x)=cu(x), where u(x) is a differentiable function of x, then f(x)=cu(x).

If the logarithmic equation is y=lnx then its derivative is such that, dydx=1x.

Calculation:

Consider the given function y=log5x

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