SOLUTION: please solve and show the work for 5^x=25^4 Thank you

Algebra.Com
Question 151484: please solve and show the work for 5^x=25^4
Thank you
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Rewrite as


Multiply the exponents.


Multiply.


Since the bases are equal, this means that the exponents are equal. So


RELATED QUESTIONS

Please solve and show work. Find the inverse for the matrix, if it exists. 5 (answered by rothauserc)
Fractional Equation-please solve and show work x/4 - x+4/5 = 1 Thank... (answered by checkley71)
9x - 2 = 4(x - 3) solve and check "please show work w/each step" thank... (answered by ankor@dixie-net.com)
log(2x-3)+ log(x-2)=2logx Please solve for x and show the work thank you (answered by ankor@dixie-net.com,scutechandni10)
1/4 n + 5= 5 1/2 Please solve for n and show all work. Thank you very much for your... (answered by checkley77)
Solve the equation for x and check. (3x-5)/18+x=(3x+5)/3+1 can you please... (answered by Boreal)
Please help me solve for x 4/7x=20 show work please because I'm clueless. Thank... (answered by rm29924)
using the Pythagorean theorem solve for x please and thank you 5(2x-1)=-25 (answered by Fombitz)
Please Solve and write your solution using Set Builder Notation. Please show work. Thank... (answered by deborabr)