Question

100 points!! Please solve question 50 in detail

Answer 1

Answer:

2.62

Step-by-step explanation:

First, write the square root as exponent.

Move the denominator to the numerator and negate the exponent.

Use log product property.

Use log exponent property.

Substitute values.

Step-by-step explanation:

Answer 2

Answer:

2.62

Step-by-step explanation:

$log_{b} \frac{b^{2}x^{\frac{5}{2} }}{\sqrt{y}}$

First, write the square root as exponent.

$log_{b} \frac{b^{2}x^{\frac{5}{2} }}{y^{\frac{1}{2}}}$

Move the denominator to the numerator and negate the exponent.

$log_{b}(b^{2}x^{\frac{5}{2}}y^{-\frac{1}{2}})$

Use log product property.

$log_{b}(b^{2}) + log_{b}(x^{\frac{5}{2}}) + log_{b}(y^{-\frac{1}{2}})$

Use log exponent property.

$2 log_{b}(b) + {\frac{5}{2}}log_{b}(x) - {\frac{1}{2}}log_{b}(y)$

Substitute values.

$2(1) + \frac{5}{2}(0.36) - \frac{1}{2}(0.56) \\2.62$