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Exercise

$\log\left(7n+9\right)=2$

Step-by-step Solution

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log(7*n+9)=2. Express the numbers in the equation as logarithms of base 10. For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. Calculate the power 10^{2}. We need to isolate the dependent variable n, we can do that by simultaneously subtracting 9 from both sides of the equation.
Solve the logarithmic equation log(7*n+9)=2

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Final answer to the exercise

$n=13$

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$\log_2\left(x-2\right)+\log_2\left(x+1\right)=2$

$2\cdot log\left(x\right)-1\cdot log\left(x+6\right)=0$

Main Topic: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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