I need help solving for x. log(2x-3)+log(x-4)=1
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Use the fact that the logarithm of a product is the same as the sum of the logarithms: log(ab) = log(a) + log(b). This comes from the fact that $\displaystyle c^d c^f = c^{d + f}$.
log(2x-3)+log(x-4)=1 log ((2x-3)(x-4))=1 10=(2x-3)(x-4) 0=2x^2 -11x +2, quadratic formula.
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