SOLUTION: Simplify the following expression. Your answer should not contain logarithms.
25^log5(x)
(that's log base 5 then x)
Algebra.Com
Question 22276: Simplify the following expression. Your answer should not contain logarithms.
25^log5(x)
(that's log base 5 then x)
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
LET Y=25^(LOG X TO BASE 5)
USE FORMULA LOG X TO BASE 5 = LOG X/LOG 5 TO COMMON BASE
Y=25^(LOG X/LOG 5)
TAKING LOGS BOTH SIDES
LOG Y ={(LOG X)/(LOG 5)}*LOG 25
=LOG X*LOG 5^2/LOG 5=LOG X*(2*LOG 5)/LOG 5(SINCE LOG X^N=N*LOG X)
=2LOG X=LOG X^2
HENCE LOG Y = LOG X^2
TAKING ANTILOGS
Y=X^2
HENCE
Y=25^(LOG X TO BASE 5)=X^2
RELATED QUESTIONS
Simplify the following expression. Your answer should not contain logarithms.... (answered by Earlsdon)
Write the expression as a sum and or difference of logarithms express powers as factors. (answered by jim_thompson5910,MathTherapy)
Help!!! Solve the following equation s:
a) 9 log5 base x =log x base 5
B) log x/2... (answered by MathLover1)
Rewrite each of the following expressions as a single logarithm. That is, each answer... (answered by MathLover1)
rewrite so that your answer does not contain logarithms, of any product, quotient or... (answered by Edwin McCravy)
Kindly help me answer these items/how to answer them:
I. Solve the ff. equations.... (answered by jsmallt9)
Given x > 1, solve for x
(log x^7)(log x) − log x^2 − 5 = 0
I had x =... (answered by josgarithmetic)
Can you help me solve this log for x?
log base 2 of(x+1) - log base 2 of x= log base 2... (answered by ewatrrr)
write the expression as a single logarithm.
log(2)+log(x+1)-1/3 log5(3x+7)
ps. the... (answered by lwsshak3)