SOLUTION: Compute log_(1/4) (32^(-18)).

Question 1033369: Compute log_(1/4) (32^(-18)).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Compute log(1/4) (32^(-18))=
----
Use the change of base Law::
= log(32^(-18))/log(1/4)
Use the power Law::
= -18log(2^5)/log(2^-2)
-----
Let the base be 2 ::
= -18*5/(-2)
------
= 9*5
------
= 45
--------------
cheers,
Stan H.
--------------
RELATED QUESTIONS
Suppose a\neq 0. Compute log_{8a} 4b if a = 1 and b =... (answered by ikleyn,math_tutor2020)

log (x-4) = log 32 - log x log (x+1) + 2*log (x) = log... (answered by josgarithmetic,MathTherapy)

log(1/2)1/32 (answered by Fombitz)

Compute \log_4 5 + \log_5 6 + \log_6 7+ \log_{2047} 2048 + \log_{2048}... (answered by CPhill)

{{{ log(4x - 18) = 1 }}} (answered by Fombitz)

{{{ log (3, (1/81) ) + log (2,... (answered by user_dude2008)

1) ( 2 log 9 base 27)- (4 log 8 base 4) 2)log 32 ^-1 base 2 (answered by stanbon)

Log 8 + Log 32 - Log 2 (All in base... (answered by Edwin McCravy,greenestamps)

Compute log[4](9) to 3 decimal... (answered by stanbon)