Describe the strategy you would use to solve \log_{6}x-\log_{6}4+\log_{6}8

coexpennan

coexpennan

Answered question

2021-09-27

Describe the strategy you would use to solve log6xlog64+log68.
a. Use the product rule to turn the right side of the equation into a single logarithm. Recognize that the resulting value is equal to x.
b. Express the equation in exponential form, set the exponents equal to each other and solve.
c. Use the fact that the logs have the same base to add the expressions on the right side of the equation together. Express the results in exponential form, set the exponents equal to each other and solve.
d. Use the fact that since both sides of the equations have logarithms with the same base to set the expressions equal to each other and solve.

Answer & Explanation

izboknil3

izboknil3

Skilled2021-09-28Added 99 answers

log6x=log64+log68
log6x=log6(32){logca+logcb=logc(ab)} Product rule.
x=32
Option A is correct.

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