Розв`язки

9^х=0,7 (0,3)^х=7

1. log₉9^x = log_0,9 0,7 2. log_0,30,3^x = log_0,3 7

x = log₀,₉0,7 x = log₀,₃ 7

2^х=10 10^х = П

3. log₂2^x = log₂ 10 4. lg10^x =lg П

x = log₂10 x=lg П

5^х+1 = 6 2^2х-1 = 3

5. log₅5^x+1 = log₅ 6 6. log₂2^2x-1 = log₂3

x+1=log₅6 2x-1=log₂3

x = log₅6 – 1 x= ( log₂3+1)

x^lgx = 1000 x^lgx-3 = 0,01

lg x^lgx = lg10. 000 x ^lgx-3 = 0,01

7. lg²x = 4 8. lg_x^lgx-3 = lg 0,01

lg= 2 (lgx-3) lgx = - 2

lgx = - 2 x = 0,01 lg²x – 3 lgx +2 = 0

lgx = 2 x = 100 lgx = t, будь яке t

t² - 3t + 2 = 0

t₁ = 2 t₂ = 1

x = 100 x = 10

ІV тип

1. 4^2x - 2 4^2x-1 – 3 4^2x-2 = 12 2. 7^x+2 + 4 7^x+1 = 539

3. 2^x+1 + 2^x = 12 4. 5 2^2x+1 - 2^2x = 18

5. 4^x+1 + 4^x = 320 6. 2^x + 3 2^x-1 = 10

7. 2 5^x+1 - 5^x = 45 8. 10^x+2 + 10^x = 101

ІV тип