Hey guys! I need help with this question:
Write the expression as a logarithm of a single quantity
I know to make any of it computable in a calculator, the logs need to be in base10. but i'm not sure how to do it because of a, b & c.
Hey guys! I need help with this question:
Write the expression as a logarithm of a single quantity
I know to make any of it computable in a calculator, the logs need to be in base10. but i'm not sure how to do it because of a, b & c.
Hi snypeshow,
Use these basic logarithm properties:
$\displaystyle \log_bx+\log_by=\log_b(xy)$
$\displaystyle \log_bx-\log_by=\log_b\left(\frac{x}{y}\right)$
$\displaystyle 3\log_5a+4\log_5b-2\log_5c=(\log_5a^3+\log_5b^4)-\log_5c^2=$
$\displaystyle \log_5(a^3b^4)-\log_5c^2=\boxed{\log_5\left(\frac{a^3b^4}{c^2}\ri ght)}$