Решение1.7^2x-6*7^x+5=07^x = tt²- 6t + 5 = 0t₁ = 1t₂ = 51) 7^x = 17^x = 7^0x₁ = 02) 7^x = 5xlg7 = lg5x₂ = lg5 / lg72.4^x+2^x=12 2^2x + 2^x - 12 = 02^x = t , t > 0t² + t - 12 = 0t₁ = - 4 не удовлетворяет условию t > 0t₂ = 32^x = 3xlg2 = lg3x = lg3 / lg23.13^x+1=169^x13^2x - 13^x - 1 = 0t = 13^x, t > 0t² - t - 1 = 0D = 1 + 4*1*1 = 5t₁ = (1 - √5)/2 < 0 не удовлетворяет условию t > 0t₂ = (1 + √5)/213^x = (1 + √5)/2xlg13 = lg[(1 + √5)/2]x = lg[(1 + √5)/2] / lg13