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sergij07 [2.7K]
3 years ago
9

Use the definition of the logarithmic function to find x. log4 0.25=x x=?

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0
The answer is -1.

log_4(0.25)  =log_4( \frac{1}{4})= log_4(4^{-1} ) \\  \\ 
log(x^{a} ) = a*log(x) \\  \\ 
log_4(4^{-1} )= -1 *log_4(4) \\  \\ 
log_y(x) =  \frac{log(x)}{log(y)}  \\  \\ 
-1 *log_4(4) = -1* \frac{log(4)}{log(4)} = -1
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