Question

Solve the both question

Answer 1

Answer:

1) x = 1

y = -3

2) x = 3

Step-by-step explanation:

${5}^{3} = 125 \\ \\ {10}^{ - 3} = 0.001 \\ \\ {5}^{3} = {5}^{3x} \\ \\ x = 1 \\ \\ {10}^{ - 3} = {10}^{y} \\ \\ y = - 3 \\ \\ \\ (2) \\ 3( {2}^{x} + 1) - {2}^{x + 2} + 5 = 0 \\ \\ 3 \times {2}^{x} + 3 - {2}^{x} \times {2}^{2} + 5 = 0 \\ \\ 3 \times {2}^{x} + 3 - 4 \times {2}^{x} + 5 = 0 \\ \\ 8 - {2}^{x} = 0 \\ \\ {2}^{x} = 8 \\ \\ {2}^{x} = {2}^{3} \\ \\ x = 3$

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Answer 2

Step-by-step explanation:

5^3x = 125

=> 5^3x = 5³

=> 3x =3

=> x = 1.

=> (10)^y = (0.001)

=> (10)^y = 1/1000

=> (10)^y = 10^-3

=> y = -3.

=> 3*(2^x + 1) - 2^(x+2) + 5 = 0

=> 3*2^x + 3 - 2^(x+2) + 5= 0

=> 3*2^x - 2^(x+2) = -8

=> 3*2^x - 2^(x+2) = -2³

=> 2^(x+2) - 3*2^x = 2³

=> 2^x*(4-3) = 2³

=> 2^x = 2³

=> x = 3