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Chapter 5: Q 40. (page 308)

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{7} x^{5}$

Short Answer

Expert verified

The result is $5 \log_{7} x$ .

Step by step solution

01

Step 1. Given information.

Consider the given information.

$\log_{7} x^{5}$

02

Step 2. Calculation.

Apply the logarithm property to simplify.

$\log_{7} x^{5} = 5 \log_{7} x$

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Most popular questions from this chapter

If $f (x) = a^{x}$ , show that $f (A + B) = f (A) . f (B)$ .

In Problems 61–72, the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{2 x}{3 x - 1}$

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

$f (x) = - e^{x}$

Determine the exponential function whose graph is given.

solve each equation. Verify your results using a graphing utility.

$9^{- x + 15} = 27^{x}$

See all solutions

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