Question 98613
{{{1.5*(1.05)^x = 2*(1.01)^x}}}
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{{{log(10,1.5*(1.05)^x) = log(10,2*(1.01)^x)}}}
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{{{log(10,1.5*(1.05)^x) - log(10,2*(1.01)^x) = 0}}}
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{{{log(10,1.5) + log(10,(1.05)^x) - log(10,2) - log(10,(1.01)^x) = 0}}}
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{{{log(10,(1.05)^x) - log(10,(1.01)^x) = log(10,2) - log(10,1.5)}}}
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{{{x*log(10,1.05) - x*log(10,1.01) = log(10,2/1.5)}}}
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{{{x(log(10,1.05) - log(10,1.01)) = log(10,4/3)}}}
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{{{x*log(10,1.05/1.01) = log(10,4/3)}}}
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{{{x*log(10,105/101) = log(10,4/3)}}}
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{{{x = log(10,4/3)/log(10,105/101)}}}