SOLUTION: log8(x-5)=2/3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log8(x-5)=2/3      Log On


   

Question 925433: log8(x-5)=2/3
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%288%2C%28x-5%29%29=2%2F3
3log%288%2C%28x-5%29%29=2
log%288%2C%28x-5%29%5E3%29=2............in base 10 will be
log%288%2C%28x-5%29%5E3%29%2Flog%288%29=2
log%288%2C%28x-5%29%5E3%29=2log%288%29
log%288%2C%28x-5%29%5E3%29=log%288%5E2%29
log%288%2C%28x-5%29%5E3%29=log%2864%29 .........if log same, then
%28x-5%29%5E3=64 .......solve for x
root%283%2C%28x-5%29%5E3%29=root%283%2C64%29
x-5=4
x=4%2B5
x=9

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

log8(x-5)=2/3
log+%288%2C+x+-+5%29+=+2%2F3 -------- Logarithmic form

82/3 = x - 5 --------- Exponential form

%28root+%283%2C+8%29%29%5E2+=+x+-+5

2%5E2+=+x+-+5

4 = x - 5

4 + 5 = x

highlight_green%28x+=+9%29

You can do the check!! 

===================

Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously. 



For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL

MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, 

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,

GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.