Solve for the exact value of z. Evaluate radicals wherever possible. Leave answers as whole numbers, fractions, or radicals (if they cannot be evaluated). No exponents or decimals. 6log_(8)(x)-3=15

To solve the equation $6\log_{8}(x)-3=15$, we can follow these steps:<br /><br />1. Add 3 to both sides of the equation:<br />$6\log_{8}(x) = 18$<br /><br />2. Divide both sides by 6:<br />$\log_{8}(x) = 3$<br /><br />3. Rewrite the equation in exponential form:<br />$8^3 = x$<br /><br />4. Evaluate the expression:<br />$x = 512$<br /><br />Therefore, the exact value of x is 512.