Use the Laws of logarithms to rewrite the expression log5 cu

Use the Laws of logarithms to rewrite the expression log_5 cuberoot x^2 + 10 in a form with no logarithm of a product, quotient or power. After rewriting we have log_5 cuberoot x^2 + 10 = A log_5 f(x)

Solution

Solution:

here;

log₅ (x² +10)^1/3 = A log₅ f(x)

=> A log₅ f(x) = 1/3 log₅ (x² +10) {using log mⁿ = n log m}

=> A = 1/3 and f(x) = (x² +10)