To solve the equation 5^x = 15, you can take the logarithm of both sides. By taking the natural logarithm of both sides, you get x * ln(5) = ln(15). Then, you can solve for x by dividing both sides by ln(5), giving you x = ln(15) / ln(5), which is approximately 1.682.
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Using logarithms. In economics, we most commonly use the the base e, which is known as ln. For example
5^x = 15, apply ln[.] to both sides
ln[5^x] = ln[15]
and since logarithms have the property of turning exponents into coefficients
xln5 = ln15
x = ln15/ln5
x = 1.6826
x/5 = 3 Multiply both sides by 5 to find the value of x:- x = 15
Add 5 to both sides of the equation to get rid of the - 5. -3x - 5 + 5 = -20 + 5 Solve and simplify. -3x = -15 Divide both sides of the equation by -3. x = 5
5.
x=5
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