Final answer to the problem
The equation has no solutions.
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1
Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$
$\ln\left(x-31\right)-\ln\left(4-3x\right)=\ln\left(32\right)$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation ln(x-31)-ln(4-3x)=5ln(2). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b. Multiply both sides of the equation by 4-3x.
Final answer to the problem
The equation has no solutions.
