What is the solution to log (10x-1)= logs(9x+ 7)?

Mathematics

1 answer:

Xelga [282]3 years ago

5 0

Answer:

$x=8$

Step-by-step explanation:

$\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\$

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2 years ago

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PtichkaEL [24]

4 answers · Mathematics
Best Answer
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Answers
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ANSWER

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