SOLUTION: Express the function
f(x)=log_(3)(9^(6 x+4) 81^(6 x+ 8))
without logarithms.
Algebra.Com
Question 418142: Express the function
f(x)=log_(3)(9^(6 x+4) 81^(6 x+ 8))
without logarithms.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Express the function
f(x)=log_(3)(9^(6 x+4) 81^(6 x+ 8))
without logarithms.
..
f(x)=log(3*9^(6x+4)*81^(6x+8))
change to base 3
=log(3*(3^2)^(6x+4)*3^4^(6x+8))
multiply exponents
=log(3*(3)^12x+8*(3)^(24x+32))
add exponents
=log(3*(3^(36x+40))
=log(3^(36x+41))
use exponent rule for logarithms
=(36x+41)*log3
use calculator for log 3
=(36x+41)*.477
ans:
f(x)=17.18x+19.56
RELATED QUESTIONS
Express the function
f(x) = logbase3(27^(3 x + 6) 81^(6 x + 8))
without... (answered by MathLover1)
f(x)=2^3log_2(8x+3)
express this function without... (answered by dabanfield)
1. 5*7^0 =
2. 1/4-^2 =
`
3. (1/4) ^-1/2 =
4. (bm)^-3=
5. y^-5/y^-2 =
6.... (answered by edjones)
Express as a sum, difference, and product of logarithms, without using exponents.
log... (answered by london maths tutor)
{{{ log(b, ((x^5b^9)/(y^7z^10))^(1/4)) }}}
Express as a sum, difference, and product... (answered by malaydassharma)
Express as a sum, difference, and product of logarithms, without using exponents.... (answered by MRperkins)
Solve the equation {{{log(16,(x))+log(8,(x))+log(4,(x))+log(2,(x))=6}}} (answered by jim_thompson5910)
If log (subscript 9) 5 =x and log (subscript 9) 4 = y, express the given logarithm in... (answered by scott8148)
Find the domain and range of:
f(x)=8+6*log base 9... (answered by stanbon)