Posted by john on Monday, December 1, 2008 at 9:40pm.
log9(x) = log3(x) * log9(3)
what is log9(3)
9^log9(3) = 3
9^.5 = 3
so
log 9(x) = .5 log3(x)
Now the problem
.5 log3(x) + 3 log3(x) = 14
log3 (x^.5) + log3(x^3) = 14
log 3 (x^3.5) = 14
x^3.5 = 3^14
now use plain old base ten logs
3.5 log x = 14 log 3
log x = 1.91
x = 10^1.91 = 81.3
Check my arithmetic!!!
Related Questions
math - Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9...
math(Please help) - 1) use the properties of logarithms to simplify the ...
Logarithms - CONDENSE INTO THE LOG OF A SINGLE QUANTITY: (1) Base 7 2/3 log( z...
math - i have 2 math questions i dont understand so if you could help me i would...
Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...
Algebra - How can you find log base 3 of 242/5 using the given information ...
Math - Help with these problems would be greatly appreciated: 1.Find the ...
Math: Algebra2 Logarithms - Can someone help me find the value of B in this ...
algebra - Find value of log (base 8)log (base 2) log (base 3)log (base 3) (27)^3...
LOGARITHMS - HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT ...
For Further Reading
