Question

1) 2^2x+8=4
2)625^x=125
3)3^x+4=27
4) 4^x-5=2^-1/2
5)5^x+2=125^x

Answer 1

1) 2^2x+8=4 ==.  2^2x+8=2^2 ==> 2x+8=2 2x = 2-8 ==> 2x = - 6 ==. x = - 3
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2)625^x=125 ==> (5^4)^x = 5^3 ==> 4x = 3 ==> x = 3/4
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3)3^x+4=27 ==. 3^x+4=3^3 ==> x+4= 3 ==> x = 3-4 ==> x = - 1
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4) 4^x-5=2^-1/2 ==> (2^2)^x-5 = 2^-1/2 ==> 2x-10= -1/2

2X =  - 1 + 10 ==> 4x = - 1+ 20 ==> 4x = 19 ==> x = 19/4
           2
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5) 5^x+2=125^x  ==> 5^x+2=(5^3)^x ==> x+2= 3x ==> x-3x = - 2

-2x = - 2 (-1) ==. 2x = 2 ==> x = 1