Math  Properties of Logarithms
posted by CheezyReezy .
Use properties of logarithms to find the exact value of the expression.
(log3(81)^4

I think you mean
log3(81)^4
4 log3(81)
find log3(81) first
3^(log 3(81)) = 81
but 81 = 9*9 = 3^4
so log3(81) = 4
so we have
4 * 4 = 16 
I meant it the way it is written. The book answer is 256. In excel, it confirms that the answer is 256.

(log_{3} 81)^4 , ((log_{3} 81)=4 by definition)
= (4)^4
= 256 
Hi, I have the same problem, but could you show the solutions in terms of "Properties of Logarithms"
Thanks,
Chelsea 
ghyguh
Respond to this Question
Similar Questions

Math
Use properties of logarithms to find the exact value of this expression. Do not use a calculator. 6log6 8  log6 7 
kahyla
use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work Ln 8x 2. log2y^5 
pre calculous
use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work ln x^2/y^3 Assuming x,y AND z are positive use properties of logariths to write the expression … 
pre calculus
Use properties of logarithms to find the exact value of the expression log_7 (343 * 7^15) 
Logarithms
Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]5ã7 
exact logarithms
Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]sqrt7? 
college algebra
use properties of logarithms to find the exact value of the expression. sqrtlog81 3 
Algebra
Use properties of logarithms to find the exact value of each expression. Do not use a calculator. 8^log 8^5 
Math
Use the properties of logarithms to rewrite each expression so that it contains only one logarithm. A. log3(5) + log3(m) 
Math
Use the properties of logarithms to find the value the following expression. log3 9^4 the answer options are a. 2 b. 4 c. 6 d. 8 e. 10 I got 4?