Answer:
x=−1.36665
Step-by-step explanation:
Let's solve your equation step-by-step.
73x+1=6x−2
Solve Exponent.
73x+1=6x−2
log(73x+1)=log(6x−2)(Take log of both sides)
(3x+1)*(log(7))=(x−2)*(log(6))
3x+1=(
log(6)
log(7)
)*(x−2)
3x+1=0.920782*(x−2)
3x+1=0.920782x−1.841564(Simplify both sides of the equation)
3x+1−0.920782x=0.920782x−1.841564−0.920782x(Subtract 0.920782x from both sides)
2.079218x+1=−1.841564
2.079218x+1−1=−1.841564−1(Subtract 1 from both sides)
2.079218x=−2.841564
2.079218x
2.079218
=
−2.841564
2.079218
(Divide both sides by 2.079218)
x=−1.36665
