Question

What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:

Answer 1

Answer:

B. 13

Explanation:

$\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )$

Logarithm rules:

$\sf (i) \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \ log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)$

Breakdown of the expression:

$\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)$

$\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)$

$\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)$

insert given values

$\rightarrow \sf 2(3)+3(2)-(-1)$

$\rightarrow \sf 13$