Question 375439
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Hi,
Note: Common properties of logarithms
*[tex \large\ \ alog_bx = log_b(x)^a ]
*[tex \large\ \ log_bx + log_by = log_b(xy) ]
*[tex \large\ \ log_bx - log_by = log_b(x/y) ]
2*log2(x) - log2(10) = 3*log2(4)
2*log2(x) - log2(10) - 3*log2(4)=0
log2(x^2) - log2(10) - log2(4^3)=0
log2(x^2/10*64)=0
*[tex \LARGE \ \ \ \ \ \ \ \ \ \ log_b(x) \ = \ y \ \ \Rightarrow\ \ b^y = x]
2^0 = x^2/640
1 = x^2/640
640 = x^2
{{{8sqrt(10) = x}}}   Note: minus solution is extraneous