Answer:
x=−7.74294
Step-by-step explanation:
Let's solve your equation step-by-step.
32x=7x−1
Solve Exponent.
32x=7x−1
log(32x)=log(7x−1)(Take log of both sides)
2x*(log(3))=(x−1)*(log(7))
2x=(
log(7)
log(3)
)*(x−1)
2x=1.771244*(x−1)
2x=1.771244x−1.771244(Simplify both sides of the equation)
2x−1.771244x=1.771244x−1.771244−1.771244x(Subtract 1.771244x from both sides)
0.228756x=−1.771244
0.228756x
0.228756
=
−1.771244
0.228756
(Divide both sides by 0.228756)
x=−7.74294
Answer:
x=−7.74294
