Properties of Logarithms & Exponents - Algebra 3/4

Card 0 of 5

Question

Convert the expression from logarithmic to exponential.

$\log_6 216=3$

Answer

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_6 216=3$

$\b=6 \a=216 \c=3$

The exponential form becomes

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Question

Convert the expression from logarithmic to exponential.

$\log_4 1024=5$

Answer

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_4 1024=5$

$\b=4 \a=1024 \c=5$

The exponential form becomes

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Question

Convert the expression from logarithmic to exponential.

$\log_3 9=2$

Answer

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_3 9=2$

$\b=3 \a=9 \c=2$

The exponential form becomes

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Question

Convert the expression from logarithmic to exponential.

$\log_6 216=3$

Answer

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_6 216=3$

$\b=6 \a=216 \c=3$

The exponential form becomes

Compare your answer with the correct one above

Question

Convert the expression from logarithmic to exponential.

$\log_4 1024=5$

Answer

To convert the logarithmic expression to exponential form, recall the change of base formula.

$\log_b a=c\rightarrow b^c=a$

Apply the change of base formula to this particular logarithmic expression.

$\log_4 1024=5$

$\b=4 \a=1024 \c=5$

The exponential form becomes

Compare your answer with the correct one above

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