Question

if 6^x=1296,then x=?​

Answer 1

Solve for x 6^x=1296

Create equivalent expressions in the equation that all have equal bases.

Since the bases are the same, then two expressions are only equal if the exponents are also equal. 6 x = 1296

6x = 6 4

x = 4

Answer 2

The value is x is 4.

Step-by-step explanation:

The equation is:

$6^{x}=1296$

Solve the equation as follows:

$6^{x}=1296$

$6^{x}=(36)^{2}$

$6^{x}=(6^{2})^{2}$

$6^{x}=6^{2\times 2}$

$6^{x}=6^{4}$

$x=4$

Thus, the value is x is 4.