SOLUTION: Solve the equation for x: 2log base 5 of x + log base 5 of 3 = log base 5(1/125)

Question 455264: Solve the equation for x: 2log base 5 of x + log base 5 of 3 = log base 5(1/125)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the equation for x: 2log base 5 of x + log base 5 of 3 = log base 5(1/125)
..
2log5(x)+log5(3)=log5(1/125)=log5(5^-3)=-3 (log of the base^x = x)
log5(3x^2) (exponent and multiplication rules)
Convert to exponential form: (base(5) raised to log of number(-3)=number(3x^2)
5^-3=3x^2
x^2=1/125*3
x=1/(5√5*√3)=1/(5√15)
x=√15/75
RELATED QUESTIONS
2log base 3 of y +1/3 log base 3 of x - (log base 3 of 5 + 2 log base 3 of 3)... (answered by jsmallt9)

solve log(base a)x= 2log (base a)3+ log(base... (answered by stanbon)

Solve the logarithmic equation: Log base 4(2x+1)= Log base 4(x-3) + Log base... (answered by solver91311)

Solve for x: (A.) Log(base 5)7 + log(base 5)8 = log(base 5)(2x-4) (B.) Log(base 3)... (answered by Nate)

solve for x. log (base 10)(x+3)=log(base 10) (2x) + log (base 10)... (answered by lwsshak3)

Solve for x: A.) Log(base 3)4 + log(base 3)5 = log(base 3)(4x+5) B.)log(base 7)6... (answered by algebrapro18)

log base 5(x)+log base 25... (answered by lwsshak3)

log(base 125)x - log(base 5)x =... (answered by lwsshak3)

Please help me solve this, and add some info please. I. Solve the ff. equations. Answers (answered by jsmallt9)