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Mathematics 11 Online
OpenStudy (anonymous):

log_8*2/128=2x-30

ganeshie8 (ganeshie8):

base 8 ?

ganeshie8 (ganeshie8):

\(\huge \log_8 \frac{2}{128} = 2x-30\) like this ?

OpenStudy (anonymous):

Correct. Can u answer.

ganeshie8 (ganeshie8):

first simplify log

ganeshie8 (ganeshie8):

2/128 = 1/64 = 8^2

ganeshie8 (ganeshie8):

=> \(\huge \log_8 \frac{1}{8^2} = 2x-30\)

OpenStudy (anonymous):

umm ok makes sense

ganeshie8 (ganeshie8):

next, write 1/8^2 as 8^-2

ganeshie8 (ganeshie8):

\(\huge \log_8 8^{-2} = 2x-30\)

ganeshie8 (ganeshie8):

can you solve from here ?

OpenStudy (anonymous):

let me see fast

ganeshie8 (ganeshie8):

ok, good luck :) you can use the log property : \(\log a^m = m \log a\)

OpenStudy (anonymous):

ok thanks for the equation

ganeshie8 (ganeshie8):

np...

OpenStudy (anonymous):

-8 on the left side 8^-8=1/64

ganeshie8 (ganeshie8):

hmm nopes

ganeshie8 (ganeshie8):

\(\huge \log_8 8^{-2} = 2x-30\) \(\huge -2*\log_8 8 = 2x-30\)

ganeshie8 (ganeshie8):

another log property is : \(\log_a a = 1\)

ganeshie8 (ganeshie8):

so that log expression simplifies to 1

OpenStudy (anonymous):

ok -2 that was my next guess when u wee typing

ganeshie8 (ganeshie8):

\(\huge -2*1 = 2x-30\) \(\huge -2 = 2x-30\) you can solve for x now

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