Mọi người giải giùm mình với

Đáp án `+` Giải thích các bước giải:

1) `2^(2x - 3) = 2^9`

`2x - 3 = 9`

`2x = 9 + 3`

`2x = 12`

`x = 12 : 2`

`x = 6.`

2) `3^(2x + 5) = 3^25`

`2x + 5 = 25`

`2x = 25 - 5`

`2x = 20`

`x = 20 : 2`

`x = 10.`

3) `9^(3x - 1) = 9^29`

`3x - 1 = 29`

`3x = 29 + 1`

`3x = 30`

`x = 30 : 3`

`x = 10.`

5) `3^(2x - 1) = 27`

`3^(2x - 1) = 3^3`

2x - 1 = 3

2x = 3 + 1

2x = 4

x = 4 : 2

x = 2.

6) `3^(2x + 1) = 27`

`3^(2x + 1) = 3^3`

2x + 1 = 3

2x = 3 - 1

2x = 2

x = 2 : 2

x = 1.

7) `5^(2x + 1) = 125`

`5^(2x + 1) = 5^3`

2x + 1 = 3

2x = 3 - 1

2x = 2

x = 2 : 2

x = 1.

9) `5^(2x + 3) = 25 . 5^5`

`5^(2x + 3) = 5^2 . 5^5`

`5^(2x + 3) = 5^7`

2x + 3 = 7

2x = 7 - 3

2x = 4

x = 4 : 2

x = 2.

10) `8^(3x + 1) = 64 . 8^5`

`8^(3x + 1) = 8^2 . 8^5`

`8^(3x + 1) = 8^7`

3x + 1 = 7

3x = 7 - 1

3x = 6.

13) `3^(3 + 2x) = 3^9 . 81`

`3^(3 + 2x) = 3^9 . 3^4`

`3^(3 + 2x) = 3^13`

3 + 2x = 13

2x = 13 - 3

2x = 10

x = 10 : 2

x = 5.

14) `13^(2x + 1) = 13^2 . 13`

`13^(2x + 1) = 13^3`

2x + 1 = 3

2x = 3 - 1

2x = 2

x = 2 : 2

x = 1.

15) `4^(4x - 5) = 4 . 4^2` 

`4^(4x - 5) = 4^3`

`4x - 5 = 3`

4x = 3 + 5

4x = 8

x = 8 : 4

x = 2.

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1) `4^(x - 1) + 3 = 67`

`4^(x - 1) = 67 - 3`

`4^(x - 1) = 64`

`4^(x - 1) = 4^3`

x - 1 = 3

x = 3 + 1

x = 4.

2) `3^(x - 1) - 3 = 78`

`3^(x - 1) = 78 + 3`

`3^(x - 1) = 81`

`3^(x - 1) = 3^4`

x - 1 = 4

x = 4 + 1

x = 5.

4) `3^x - 1 = 2^4 . 5`

`3^x - 1 = 16 . 5`

`3^x - 1 = 80`

`3^x = 80 + 1`

`3^x = 81`

`3^x = 3^4`

x = 4.

6) `4 . 2^x - 3 = 125`

`4 . 2^x = 125 + 3`

`4 . 2^x = 128`

`2^x = 128 : 4`

`2^x = 32`

`2^x = 2^5`

`x = 5.`