Math, asked by abhishek5736, 1 year ago

log (10x + 5) - log (x - 4) = 2​

Answers

Answered by johncena19
8

Answer:

x =  \frac{9}{4}

Step-by-step explanation:

 log(10x + 5)  -  log(x - 4)  = 2 \\ =  >   log_{}( \frac{10x + 5}{x - 4} )  = 2 \\  =  >  \frac{10x + 5}{x - 4}  = 10 {}^{2}  \\  =  >  \frac{10x + 5}{x - 4}  = 100 \\  =  > 10x + 5 = 100(x - 4) \\  =  >  - 90x =  - 405 \\  =  > x =  \frac{9}{2 }   \: or \:  4 \frac{1}{2}

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