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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
Learn how to solve simplification of algebraic expressions problems step by step online.
$\frac{1}{2}\ln\left(\frac{\left(x-8\right)^{26}}{\left(3x-7\right)^{38}}\right)$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ln((((x-8)^26)/((3x-7)^38))^1/2). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x).