solve the logarithmic equation. log 25=2/3
Answers
ANS-1-Start by condensing the log expressions on the left into a single logarithm using the Product Rule. What we want is to have a single log expression on each side of the equation. Be ready though to solve for a quadratic equation since x will have a power of 2. Solve the quadratic equation using the factoring method.
Logarithm Rules or Log Rules
There are four following math logarithm formulas: ● Product Rule Law:
loga (MN) = loga M + loga N. ● Quotient Rule Law:
loga (M/N) = loga M - loga N. ● Power Rule Law:
IogaMn = n Ioga M. ● Change of base Rule Law:
The quantity x is the number, b is the base and y is the exponent or power. For example, 32 = 2 × 2 × 2 × 2 × 2 = 22. ... On the other hand, the logarithmic function is defined as the inverse function of exponentiation. Consider again the exponential function f(x) = by, where b > 0 < x and b ≠ 1.