How do you solve the exponential equation #10^(x-3)=100^(4x-5)#?
1 Answer
Mar 8, 2017
Explanation:
Express the exponential on the right side with a
#color(blue)"base of 10"#
#rArr10^(x-3)=(10^2)^(4x-5)#
#rArr10^(x-3)=10^(8x-10)# Since the bases on both sides are 10 then equate the exponents.
#rArr8x-10=x-3#
#rArr7x=7#
#rArrx=1" is the solution"#
