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Solve for the exact value of x. Evaluate radicals wherever possible Leave answers as whole numbers, fractions, or radicals (if they cannot be evaluated). No exponents or decimals. -18log_(2)(x)-10=-16 Answer Attemptiout of 3 x=square

Problemas

Solve for the exact value of x. Evaluate radicals wherever possible Leave answers as whole
numbers, fractions, or radicals (if they cannot be evaluated). No exponents or decimals.
-18log_(2)(x)-10=-16
Answer Attemptiout of 3
x=square

Solve for the exact value of x. Evaluate radicals wherever possible Leave answers as whole numbers, fractions, or radicals (if they cannot be evaluated). No exponents or decimals. -18log_(2)(x)-10=-16 Answer Attemptiout of 3 x=square

Solución

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Ismaelprofessionell · Tutor durante 6 años
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To solve for the exact value of x, we need to isolate x in the equation.<br /><br />Given equation: $-18log_{2}(x)-10=-16$<br /><br />Step 1: Add 10 to both sides of the equation to isolate the logarithmic term.<br />$-18log_{2}(x) = -6$<br /><br />Step 2: Divide both sides of the equation by -18 to isolate the logarithm.<br />$log_{2}(x) = \frac{1}{3}$<br /><br />Step 3: Rewrite the equation in exponential form to solve for x.<br />$2^{\frac{1}{3}} = x$<br /><br />Therefore, the exact value of x is $x = 2^{\frac{1}{3}}$.
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