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Use log. 16^k +4^(k+1)=1/4^3


User Auron
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1 Answer

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To solve this equation, we need to find the value of k that makes both sides equal.

We can start by rewriting the logarithmic expression using the logarithmic properties:

log16^k + 4^(k+1) = 1/4^3

k * log16 + (k+1) * log4 = -3 * log4

k * log16 + k * log4 + log4 = -3 * log4

k * (log16 + log4) + log4 = -3 * log4

k * log64 + log4 = -3 * log4

k * 6 + 1 = -9

k = -2

Therefore, the value of k that satisfies the equation is k = -2.
User Parul
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