Verified Answer :

81x = 27x + 2
81x - 27x  =  2
54x = 2
x = 2/54
x  = 1/27

none of the above is the answer...

SilverCyclone

Answer: x = 6

Step-by-step explanation:

Let's solve your equation step-by-step.

81x=27x+2

Solve Exponent.

81x=27x+2

log(81x)=log(27x+2)(Take log of both sides)

x(log(81))=(x+2)(log(27))

x=(

log(27)

log(81)

)(x+2)

x=0.75(x+2)

x=0.75x+1.5(Simplify both sides of the equation)

x−0.75x=0.75x+1.5−0.75x(Subtract 0.75x from both sides)

0.25x=1.5

0.25x

0.25

=

1.5

0.25

(Divide both sides by 0.25)

x=6

Related Questions