# Thread: Logarithm help

1. ## Logarithm help

How do you write the function as a sum, difference, or product of logarithms

log 5 (subscript) (x^2y^4 square root m^3 p)

Any help will be appreciated! Thanks

2. Originally Posted by Danihop
How do you write the function as a sum, difference, or product of logarithms

log 5 (subscript) (x^2y^4 square root m^3 p)

Any help will be appreciated! Thanks
Is this $\log_5\left(x^2y^4\sqrt{m^3p}\right)$?

Just use

$\log_b\left(x\cdot{y}\cdot{z}\cdots\right)=\log_b( x)+\log_b(y)+\log_b(z)\cdots$

and $\log_b\left(a^x\right)=x\log_b(a)$

3. ## Logs

Would my final answer be

2 log 5 x + 4 log 5 Y + 3/2 log 5 m + 1/2 log 5 P

4. Originally Posted by Danihop
Would my final answer be

2 log 5 x + 4 log 5 Y + 3/2 log 5 m + 1/2 log 5 P