Question

find the value of x​

Answer 1

Step-by-step explanation:

$\huge\bf{\mid{\overline{\underline{ANSWER:-}}\mid}}$

${3}^{(27x)} = {27}^{(3x)} \\ \\ {3}^{ ({27})^{x} } = {3}^{ ({3})^{3x} } \\ \\ {3}^{27x} = {3}^{9x} \\ \\ \cancel27x = \cancel9x \\ \\ 3x = x \\ \\ 2x = 0 \\ \\ \boxed {\boxed{x = 0}}$

$\large{VERIFICATION :- } \\ \\ {3}^{(27x)} = {27}^{(3x)} \\ \\ put \: \: x = 0 \\ \\ {3}^{(27 \times 0)} = {27}^{(3 \times 0)} \\ \\ {3}^{(0)} = {27}^{(0)} \\ \\ 1 = 1 \\ \\ Verified......$