Verified answer

01) 10^x = 1000000 = 10⁶ --> x = 6

02) 12^(2x) = 11

144^x = 11

x*log(144) = log(11)

x = log(11)/log(144)

03) 2^(x+1) = 1024 = 2¹º

x + 1 = 10

x = 9

04) 6^3x = 1 = 6º

3x = 0

x = 0

05) 4^x=1/16

4^x = 4^-2

x = -2

(0,0001)^x = 10^(8 - 5x)

10^-4 = 10^(8 - 5x)

8 - 5x = -4

5x = 12

x = 12/5

07) 7^3x = √3

343^x = √3

x*log(343) = log(√3)

x = log(√3)/log(343) = log(3)/(2*3log(7)) = log(3)/(6log(7))

08) 5^5x-1=5^x+7

5x - 1 = x + 7

4x = 8

x = 2

10) 100^(x-4) = 1000^x

10^(2x - 8) = 10^3x

2x - 8 = 3x

x = -8

pronto