2 log5(√5) + 3 log2(8)
First, simplify the expressions inside the logarithms:
log5(√5) = log5(5^(1/2)) = (1/2)log5(5) = (1/2)(1) = 1/2
log2(8) = log2(2^3) = 3log2(2) = 3(1) = 3
Now plug these values back into the original expression:
2(1/2) + 3(3) = 1 + 9 = 10
Therefore, the final answer is 10.
2 log5(√5) + 3 log2(8)
First, simplify the expressions inside the logarithms:
log5(√5) = log5(5^(1/2)) = (1/2)log5(5) = (1/2)(1) = 1/2
log2(8) = log2(2^3) = 3log2(2) = 3(1) = 3
Now plug these values back into the original expression:
2(1/2) + 3(3) = 1 + 9 = 10
Therefore, the final answer is 10.