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Solve for x:
Solution:
Consider the given equation above
Did you notice that the bases of the logarithmic functions are different? Well, we have to convert all the logarithmic functions into the same base first. Let's convert all the logarithmic functions into base 2 as follows
for
for
for
Hence, the given equation becomes
Take out their common factor, we have
Since the terms inside the bracket are all coefficients, then we can eliminate the coefficient since the right side of the equation is zero.
Take inverse logarithm on both sides of the equation
Take inverse tangent on both sides of the equation
Therefore, the answer is
I would like to thank Mr. Bilomba Nkita Leonard, Educator of Mathematics and Physical Sciences at Northwest Department of Education in South Africa who posted this problem at LinkedIn.