1) 5^(5x+1) = 255^(5x+1) = 5^25x + 1 = 25x = 1x = 1/5
2) 6^(6x) - 9 = 2196^(6x) = 2286x = log₆(228)x ≈ 1.321
3) 2^8 - 13x = 1/32256 - 13x = 1/3213x = 8.03125x ≈ 0.617
4) 7^(1.2x) + 0.6 = 1/3437^(1.2x) = -342.41.2x = log₇(-342.4)x is not a real number
5) 10^21 - 6x = 0.00110^21 = 6x + 0.0016x = 10^21 - 0.001x = (10^21 - 0.001)/6
1) 5^(5x+1) = 25
5^(5x+1) = 5^2
5x + 1 = 2
5x = 1
x = 1/5
2) 6^(6x) - 9 = 219
6^(6x) = 228
6x = log₆(228)
x ≈ 1.321
3) 2^8 - 13x = 1/32
256 - 13x = 1/32
13x = 8.03125
x ≈ 0.617
4) 7^(1.2x) + 0.6 = 1/343
7^(1.2x) = -342.4
1.2x = log₇(-342.4)
x is not a real number
5) 10^21 - 6x = 0.001
10^21 = 6x + 0.001
6x = 10^21 - 0.001
x = (10^21 - 0.001)/6