# Math - Properties of Logarithms

posted by .

Use properties of logarithms to find the exact value of the expression.

(log3(81)^4

• Math - Properties of Logarithms -

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

• Math - Properties of Logarithms -

I meant it the way it is written. The book answer is 256. In excel, it confirms that the answer is 256.

• Math - Properties of Logarithms -

(log3 81)^4 , ((log3 81)=4 by definition)
= (4)^4
= 256

• Math - Properties of Logarithms -

Hi, I have the same problem, but could you show the solutions in terms of "Properties of Logarithms"

Thanks,
Chelsea

• Math - Algebra -

ghyguh

## Similar Questions

1. ### Math

Use properties of logarithms to find the exact value of this expression. Do not use a calculator. 6log6 8 - log6 7
2. ### 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
3. ### 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 …
4. ### pre calculus

Use properties of logarithms to find the exact value of the expression log_7 (343 * 7^15)
5. ### Logarithms

Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]5ã7
6. ### exact logarithms

Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]sqrt7?
7. ### college algebra

use properties of logarithms to find the exact value of the expression. sqrtlog81 3
8. ### Algebra

Use properties of logarithms to find the exact value of each expression. Do not use a calculator. 8^log 8^5
9. ### Math

Use the properties of logarithms to rewrite each expression so that it contains only one logarithm. A. log3(5) + log3(m)
10. ### 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?

More Similar Questions