Converting from Logarithmic to Exponential Form

[Pages:15]Converting from Logarithmic to Exponential Form

Converting from Logarithmic to Exponential Form

A logarithm is an exponent. That is, ...

loga y = exponent to which the base a must be raised to obtain y

In other words, loga y = x is equivalent to ax = y

Example 1 Write the logarithmic equation log3 (9) = 2 in equivalent exponential form.

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Converting from Logarithmic to Exponential Form

loga y = x is equivalent to ax = y Example 2 Write the logarithmic equation C = logH (A) in equivalent exponential form.

=( )

Converting from Logarithmic to Exponential Form

Common Logarithm: log10 y = log y Example 3 Write the logarithmic equation log (10,000) = 4 in equivalent exponential form.

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Converting from Logarithmic to Exponential Form

Natural Logarithm: loge y = ln y (Note: e 2.718)

Example 4 Write the logarithmic equation A = ln (19) in equivalent exponential form.

( ) =

Converting from Exponential to Logarithmic Form

Converting from Exponential to Logarithmic Form

loga y = x is equivalent to ax = y Example 1 Write the exponential equation 8 = 23 in equivalent logarithmic form.

log ( ) =

Converting from Exponential to Logarithmic Form

loga y = x is equivalent to ax = y Example 2 Write the exponential equation MK = D in equivalent logarithmic form.

log ( ) =

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