Question

Need help please explain this to me I am quiete lost

Answer 1

The numerical value is -9

Step-by-step explanation

Given:

`\log \frac{b^3c^3}{\sqrt[]{a^3}}`

This can be re-written as;

`\log \frac{b^3c^3}{a^{(3)/(2)}}`

Applying the laws of logarithm

`\log b^3+\log c^3-\log a^{(3)/(2)}`

`3\log b+3\log c-(3)/(2)\log a`

From the values given;

loga =10 logb=11 logc=-9

Substitute

`3(11)+3(-9)-(3)/(2)(10)`
`=33-27-15`
`=-9`