`5^(x-4)=25^(x-6)`
To solve, factor the 25.
`5^(x-4)=(5^2)^(x-6)`
To simplify the right side, apply the exponent rule `(a^m)^n = a^(m*n)` .
`5^(x-4)=5^(2*(x-6))`
`5^(x-4)=5^(2x-12)`
Since both sides have the same base, to solve for the value of x, set the exponent at the left equal to the exponent at the right.
`x-4=2x-12`
`x-2x=4-12`
`-x=-8`
`x=8`
Therefore, the solution is `x=8` .
`5^(x-4)=25^(x-6)`
To solve, factor the 25.
`5^(x-4)=(5^2)^(x-6)`
To simplify the right side, apply the exponent rule `(a^m)^n = a^(m*n)` .
`5^(x-4)=5^(2*(x-6))`
`5^(x-4)=5^(2x-12)`
Since both sides have the same base, to solve for the value of x, set the exponent at the left equal to the exponent at the right.
`x-4=2x-12`
`x-2x=4-12`
`-x=-8`
`x=8`
Therefore, the solution is `x=8` .
No comments:
Post a Comment