All Algebra II Resources
Example Questions
Example Question #21 :Log Base 10
Solve:
Break upusing log rules. The log has a default base of ten.
The exponent can be brought down as the coefficient since the bases of the second term are common.
This means that:
The answer is:
Example Question #22 :Log Base 10
Evaluate:
We will need to write fraction in terms of the given base of log, which is ten.
According to the log rules:
This means that the expression of log based 10 and the power can be simplified.
The answer is:
Example Question #23 :Log Base 10
Evaluateto the nearest tenth.
Since most calculators only have common and natural logarithm keys, this can best be solved as follows:
By the Change of Base Property of Logarithms, ifand,
Setting, we can restate this logarithm as the quotient of two common logarithms, and calculate accordingly:
or, when rounded, 2.5.
This can also be done with natural logarithms, yielding the same result.
Rond to one decimal place.
Example Question #24 :Log Base 10
Solve forin the equation:
This question tests your understanding of log functions.
can be converted to the form.
In this problem, make sure to divide both sides byin order to put it in the above form, where. Remember.
Therefore,
Example Question #25 :Log Base 10
Evaluate.
Take the common logarithm of both sides, and take advantage of the property of the logarithm of a power:
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