Asked by Jonathan
Solve the equation.
100^(5x+2)=1000^(4x-1)
100^(5x+2)=1000^(4x-1)
Answers
Answered by
MsPi_3.14159265
Recall that 100 is 10^2 and that 1000 is 10^3, so you have power of a power...
that is 10^(2(5x+2)= 10^(3(4x-1) and since the bases are the same we can set the exponents the same so...
2(5x+2)=3(4x-1) and use the distributive property to expand the brackets, then collect like terms and solve for x.
that is 10^(2(5x+2)= 10^(3(4x-1) and since the bases are the same we can set the exponents the same so...
2(5x+2)=3(4x-1) and use the distributive property to expand the brackets, then collect like terms and solve for x.
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