0. Functions

Logarithmic Functions

0. Functions

Logarithmic Functions

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Multiple Choice

Convert the following logarithmic expression to its equivalent exponential form.
$$\log$_4x=5$

$4^{x}=5$

$x^4=5$

$4^5=x$

$5^4=x$

Verified step by step guidance

Identify the given logarithmic expression:

\log 4_{x} = 5

Recall the definition of a logarithm:

\log b_{a} = c

means

b_{c} = a

Apply the definition to the given expression:

4_{5} = x

Verify the conversion by checking if the exponential form correctly represents the original logarithmic statement.

Conclude that the exponential form of the given logarithmic expression is

4_{5} = x

7:3m

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Multiple Choice

Convert the following logarithmic expression to its equivalent exponential form.

$x=$\log$9$

Convert the following exponential expression to its equivalent logarithmic form.

$3^{x}=7$

Convert the following exponential expression to its equivalent logarithmic form.

$e^9=x+3$

{Use of Tech} Let f(x) = ln((x+1)/(x-1)) and g(x) = ln ((x+1)/(x-1)).

b. Sketch graphs of f and g to show that these functions do not differ by a constant.

168

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Struggling with Calculus?

Convert the following logarithmic expression to its equivalent exponential form.log4x=5\(\log\)_4x=5log4x=5

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Logarithmic Functions practice set

Convert the following logarithmic expression to its equivalent exponential form.
$\(\log\)_4x=5$