Question

If log3
729 = x
than value ofx​

Answer 1

$\bf{\underline{Question:-}}$

• if log$\sf _3 (729) = x$ then value of x

$\bf{\underline{Given:-}}$

• log$\sf _3 (729) = x$
• X = ?

$\bf{\underline{Solution:-}}$

Note,

• If x and y are positive real numbers and b does not equal to 1,
• then $\sf log_b(x) = y$ is equivalent to $\sf b^y = x$.

Now,

→ $\sf log_3(729) = x$

→ $\sf 3^x = 729$

→ $\sf 3^x = 3^6$ { bases are equal }

• Comparing the exponent

→ $\sf x = 6$

$\bf{\underline{Hence:-}}$

• The Required Value Of X is 6