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Solve for x when x is an exponent

How to solve problems like 3 (raised to the x power) = 5, using base 10 logarithms.

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Exponential Equations

The problem here is that the x x is in the exponent. Because of that all our knowledge about solving equations won’t do us any good. We need a way to get the x x out of
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Is there a way to find x when x is an exponent?

To solve exponential equations with the same base, which is the big number in an exponential expression, start by rewriting the equation
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Solving Exponential Equations

log.15=log.85^x (remember that when there is an exponent in a logarithm, it is moved in front of the log as a multiplier) log (.15)= x log (.85) x= log (.15)/log (.85) x=11.6732. And now plug the number in for x to check if the
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Solving Exponential Equations

Solve Exponential Equations for Exponents using X = log(B) / log(A). Will calculate the value of the exponent. Free online calculators for exponents, math, fractions, factoring, plane geometry, solid geometry, algebra, finance and more.

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