# Math

posted by .

Find the value of the following.

10^(-10log3)

• Math -

-10log3= log3^-10= log (1/3^10)

so 10^(log(1/3^10)= 1/3^10

Here is an unconfusing explanation.

log100=2
so 10^2=l0^(log100) by definition.

• Math -

Have you come across the property of logs that says ..

a^loga k = k

10^(-10log3)
= 10^(log 3^(-10))
= 3^-10
= 1/3^10 , so far no calculator
= appr. .000016935

check:
log3 = .47771213
-10log3 = -4.771213
10^-4.771213 = .00016935

• Math -

Thanks!

## Similar Questions

1. ### domain

How do you find the domain of log(x^2-4)?
2. ### Math

The problem 8^x = 16^x+2 the choices a)8 and b)-8. Help please! Given that information I want to say the answer is -8 ?
3. ### Math: Algebra2 Logarithms

Can someone help me find the value of B in this expression?

Which of the following expressions is equal to log (x sqrt-y)/z^5 A. log x + log (1/2) + log y– log 5 – log z B. log [x + (1/2)y – 5z] C. log x + (1/2)log y – 5 log z d. [(1/2) log x log y]/(5 log z)
5. ### math

Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25) …
6. ### physics

A log is floating on swiftly moving water. A stone is dropped from rest from a 84-m-high bridge and lands on the log as it passes under the bridge. If the log moves with a constant speed of 3.6 m/s, what is the horizontal distance …
7. ### Math

Find the value of the following. 10^(-10log3) The log exponent is confusing me. Could someone please help me?
8. ### Algebra

I have an exponent properties test tomorrow, its our last one before the final, so its important, but anyways, there is one question on the review that is confusing me. Could you please help?
9. ### precalc help

Find the exact value without a calc 1. log base 3 of 8 times log base 8 of 9. I started by changing both bases to 10 but don't know what to do from there. 2. e ^ log base e^2^9. I hope that isnt confusing. My teacher said we are suppose …
10. ### math

Wondering the answers to these: Find the value of each of the following. Leave your answers as fractions where appropriate. [I did these myself but need to answer-check] a) log[base4](1/8) b) 10^(-10log3) c) 2log[base3](9) d) log[base3](3)^(2x) …

More Similar Questions