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solve for x: log_2(x)=5
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Let both sides of the equation be the exponent of base 2. \[2^{\log_{2}(x)}=2^{5} \] Raising a number to the 5th power is the same as multiplying the number by itself 5 times. In this case, 2 raised to the 5th power is 32 then x would equal to 32.
\(\large \log_2 x = 5\) Use: \(\large \log_b x = y ~~\iff~~~ b^y = x\) \(\large 2^5 = x\) Just raise 2 to the 5th power.
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