math need now
posted by amber .
solve the equation by expressing each side as a power of the same base and then equating exponents
3125^x=1/square root 5

did you realize that 3125 is a power of 5, namely 3125 = 5^5
and √5 = 5^(1/2) then 1/√5 = 5^(1/2)
so your equation becomes
(5^5)^x = 5^(1/2)
5^5x = 5^(1/2)
then 5x = 1/2
x = 1/10
Respond to this Question
Similar Questions

MATH! HELP!!!
I am putting < for the square root abbreviation. I don't know how to use it on my comp. 3<992<446<11=? 
Algebra
Solve 2+ the square root of 4x=x what is your question? 
Algebraplease check my answers
Solve the equation by expressing each side as a power of the same base and then equating exponents. 9^(x  9)/8= sqrt of 9 i got 13 4^(x + 10) = 8^(x  6) i got 38 Solve the exponential equation. Express the solution set in terms of … 
College Algebra
Solve the equation by expressing each side as a power of the same base and then equating exponents. 3 (63x) = 1/27 {9} {1/9} {3} {3} 
math
solve the equation by expressing each side as a power of the same base and then equating exponents 2^(73x)=1/4 
algebra
solve the equation by expressing each side as a power of the same base and then equating exponents. 2^(73x)= 1/4 
Math
Solve the equation by expressing each side as a power of the same base and then equating exponents. 2x = 16 
College algebra
Solve equation by expressing each side as a power of the same base & then equating exponents. e^x+5=1/e^6 
Algebra
Solve the exponential by expressing each side as a power of the same base and then equating exponents. 5^x2/4=squaroots 5 please help. Thanks! 
college algebra
Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 31x = 1/27