Question

If 3 to the power x + 1 is equal to 9 to thepower x minus 2 find the value of 2 to the power 1 plus x

Answer 1

Answer:

64

Step-by-step explanation:

Given:-

$(3)^{x + 1} = {(9)}^{x - 2}$

To Find:-

${(2)}^{1 + x}$

Solution:-

$(3)^{x + 1} = {(9)}^{x - 2}$

$(3)^{x + 1} = {(3)}^{(2) \times (x - 2)}$

$(3)^{x + 1} = {(3)}^{2x - 4}$

When the bases are same then compare the powers:-

$x + 1 = 2x - 4$

$2x - x = 1 + 4$

x=5

Now we have to find:-

${(2)}^{1 + x}$

Put the value x=5,

${(2)}^{1 + 5}$

${(2)}^{6}$

${(2)}^{1 + x} = 64$

Answer 2

Answer:

64

Step-by-step explanation:

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