Solves for the value of x for each of the

Marquis Neal

Marquis Neal

Answered question

2022-01-25

Solves for the value of x for each of the exponential equations and inequalities
a)82x2=2
b)(12x)<18
c)5x=25x2

Answer & Explanation

enguinhispi

enguinhispi

Beginner2022-01-26Added 15 answers

1) 82x2=2
We know that 8=23 so,
23(2x2)=21
Since, bases are the same so, their exponents are also the same,
3(2x2)=1
6x6=1
Add 6 both sides,
6x=7
Divide both sides by 6,
x=76
So, x=76
2) 12x<18
12x<123
So, x<3
3) 5x=25x2
5x=52(x2)
Thus, bases are same so, their power should also same means equal.
So, x=2(x2)
x=2x4
x=4
Multiply both sides by -1,
x=4
Hence, x=4

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