First, we must simplify the expression inside the parentheses using the change of base formula for logarithms:
log2(25) = log(25) / log(2) ≈ 4.6439log5(8) = log(8) / log(5) ≈ 1.893
Now, we can substitute these values back into the original expression and simplify it further:
log36(4.6439 × 1.893)= log36(8.7826)≈ log(8.7826) / log(36)≈ 0.94445 / 1.556≈ 0.60775
Therefore, Log36(log2 (25) × log5 (8)) ≈ 0.60775
First, we must simplify the expression inside the parentheses using the change of base formula for logarithms:
log2(25) = log(25) / log(2) ≈ 4.6439
log5(8) = log(8) / log(5) ≈ 1.893
Now, we can substitute these values back into the original expression and simplify it further:
log36(4.6439 × 1.893)
= log36(8.7826)
≈ log(8.7826) / log(36)
≈ 0.94445 / 1.556
≈ 0.60775
Therefore, Log36(log2 (25) × log5 (8)) ≈ 0.60775