Please, solve for the values of x for each of the following exponential equations and...

Kamren Franco

Kamren Franco

Answered

2022-01-23

Please, solve for the values of x for each of the following exponential equations and inequalities.
(a) 82x=2
(b) (12)x<(18)
(c) 5x=25x2
(d) 3x+227
(e) 43x=8x1

Answer & Explanation

fumanchuecf

fumanchuecf

Expert

2022-01-24Added 21 answers

I did only three first
a)82x=2
8=23
23(2x)=2
So 3(2x)=1
63x=1
3x=61
x=53
b)(12)x<(18)
12x<18
8<2x
2x>8
8=23
2x>23
Thus, x>3
c)5x=25x2
25=52
5x=(5)2(x2)
So, x=2(x2)
x=2x4
2xx=4
x=4
Eleanor Shaffer

Eleanor Shaffer

Expert

2022-01-25Added 16 answers

4. 3x+227
27=33
3x+233
x+23
x32
x1
5. 43x=8x1
4=22, 8=23
22(3x)=23(x1)
2(3x)=3(x1)
6x=3x3
6x3x=3
3x=3
x=1

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