Question

if 64^x=16/4^x
find the value of x
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Answer 1

Question:

If $64^x=(\frac{16}{4})^x$ . Find the Value of x

Solution:

$64^x=(\frac{16}{4})^x\\\\\\(2^6)^x=(\frac{16}{4})^x\\\\\\2^{6x} \times 4^x =16\\\\\\2^{6x} \times (2^2)^x =16\\\\\\2^{6x} \times (2^2)^x =2^4\\\\\\2^{8x} = 2^4$

Since Bases are same Equate the Powers

$8x=4\\\\\\x=\frac{4}{8}\\\\\\x=\frac{1}{2}$

Answer:

$x=\frac{1}{2}$

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