SOLUTION: Match equation logarithm with the correct exponential form of the function. log3 81=4 log27 3=(1/3) log3 27=3 log81 3=(1/4) Find the unknown values log3 X=3 Match each

Algebra ->  Inverses -> SOLUTION: Match equation logarithm with the correct exponential form of the function. log3 81=4 log27 3=(1/3) log3 27=3 log81 3=(1/4) Find the unknown values log3 X=3 Match each       Log On


   

Question 1002010: Match equation logarithm with the correct exponential form of the function.
log3 81=4
log27 3=(1/3)
log3 27=3
log81 3=(1/4)
Find the unknown values
log3 X=3
Match each equation with the correct solution.
log9 x=32
log9 x=2
logb 121=2
logb 9=2
Thank you so much!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the logarithmic function with base b is the function:
y+++=++log%28b%2C+x%29
corresponding to every logarithm function with base b, there is an exponential function with base+b:
y++=+b%5Ex

log%283%2C+81%29=4=>81+=+3%5E4
log%2827%2C+3%29=%281%2F3%29=>3=27%5E%281%2F3%29
log%283%2C+27%29=3=>27=3%5E3
log%2881%2C3%29=%281%2F4%29=>3+=+81%5E%281%2F4%29

Find the unknown values:
log%283%2C+x%29=3=>x=3%5E3=>x=27

Match each equation with the correct solution.
log%289%2C+x%29=32=>x=9%5E32=>x=3433683820292512484657849089281
log%289%2C+x%29=2=>x=9%5E2=>x=81
log%28b+%2C121%29=2=>121=b%5E2=>b=sqrt%28121%29=>b=11
log%28b%2C+9%29=2=>9=b%5E2=>b=sqrt%289%29=>b=3