Question

Обчисліть:(0,3)log0,09^4.

Answer 1

$0.3^{\log_{0.09}4}=0.3^{0.5\log_{0.3}4}=0.3^{\log_{0.3}2}=2$

Answer 2

To calculate the expression (0.3)log₀.₀₉⁴, you first need to evaluate the logarithm and then multiply the result by 0.3.

Step 1: Evaluate the logarithm log₀.₀₉⁴ means "the logarithm of 0.09 to the base 0.9 raised to the power of 4." Let's calculate it:

log₀.₀₉⁴ = log(0.09) / log(0.9) ≈ -2.857 / -0.152 ≈ 18.82

Step 2: Multiply by 0.3 Now, multiply the result from Step 1 by 0.3:

(0.3)log₀.₀₉⁴ ≈ 0.3 * 18.82 ≈ 5.646

So, (0.3)log₀.₀₉⁴ is approximately 5.646.