Evaluate the expression. a) \log_33^7 b) \log_464 c) PS

Caelan

Caelan

Answered question

2021-10-14

Evaluate the expression.
a) log337
b) log464
c) log5125

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-10-15Added 106 answers

Step 1
To evaluate the given expressions, the following properties of logarithm will be used: The exponent property logaxm=mlogax and the property logaa=1
Note that the base of the logarithm must be positive.
Step 2 (a) The given expression is log337. Use the properties of logarithms to evaluate this expression.
log337=7log33
=71
=7
(b)
The given expression is log464. Use the properties of logarithms to evaluate the expression.
log464=log443
=3log44
=31
=3
(c)
The given expression is log5125. Use the properties of logarithms to evaluate the expression.
log5125=log553
=3log55
=31
=3

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