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xapprox6.21 First we'll take the log of both sides: log(5^x)=log(4^(x+1)) Now there's a rule in logarithms which is: log(a^b)=blog(a), saying that you can move any exponents down and out of the log sign. Applying this: xlog5=(x+1)log4 Now just rearrange to get x on one side xlog5=xlog4+log4 xlog5-xlog4=log4 x(log5-log4)=log4 x=log4/(log5-log4) And if you type that into your calculator you'll.
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Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10 4, or 10,000. This would make the fraction
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