Posted by **bobby** on Wednesday, March 28, 2012 at 9:16pm.

Let

f(x) = (7^(x))* (log base 3 of(x))

f '(x) =

- math -
**Steve**, Thursday, March 29, 2012 at 11:23am
you just need to memorize a couple more formulas:

you know that if

f = e^x

f' = e^x

f = a^x

f' = a^x ln(a)

log_{b}x = ln(x)/ln(b)

f = log_{b}x

f' = 1/ln(b) * 1/x

so, for f above,

f' = 7^x ln7 log_{3}x + 7^x * 1/xln3

= 7^x ln7 lnx/ln3 + 7^x *1/xln3

= 7^x/xln3 (x ln7 lnx + 1)

## Answer This Question

## Related Questions

- Algebra 2 - -Explain the difference between log base b (mn) and ( log base b of ...
- Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...
- math - Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9...
- math - i have 2 math questions i don't understand so if you could help me i ...
- Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...
- Econ math/logarithms - If log with base b (2)=0.39 and log with base b (3)=0.61 ...
- math - mathematically Evaluate without using tables 2 log base 10 raised 2 power...
- Math - Help with these problems would be greatly appreciated: 1.Find the ...
- precalc - Solve: round to the thousandths if necessary! 1) 4^3/4x+5 = 12 2) log(...
- Trig - log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i...

More Related Questions