Question

If 2 raise to the power 4 multiply by 4 raise to the power 3 equals to 4 raise to the power x, find the value of x​

Answer 1

2^4 x 4^4 = 4^x
4^2 x 4^4 = 4^x
4^(2+4) = 4^x
Therefore, x = 6

Answer 2

Answer:

x=5

Step-by-step explanation:

ATQ,

$2^4 × 4^3 = 4^x$

$2^4 × (2^2)^3 = (2^2)^x$

$2^4 × 2^6 = 2^{2x}$

$2^{4+6} = 2^{2x}$

$2^{10} = 2^{2x}$

As the bases. are same, we compare the powers.

=> 10 = 2x

=> x = 5

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