Question

If 3^2x-1=27×3^4,find the value of x.​

Answer 1

$\huge\sf{\underline{\pink{ANSWER}}}$

$\huge\sf\blue{GIVEN}$

• $3^{2x}-1=27×3^4$

$\huge\sf\blue{TO\:FIND}$

• The value of x

$\huge\sf\blue{HOW\:TO\:SOLVE}$

• Make the Bases same and then equate tge powers.

Now,

$\huge\sf{ 3^{2x}-3^0=3^3+3^4}$

Now the bases are same, equating the powers.

$\huge\textbf{2x-0=3+4}$

$\huge\textbf{2x=7}$

$\huge\sf{x=\frac{7}{2}}$

$\bf\red{EXPONENT\:RULE}$

• $(a^m)^n=a^mn$

• ${a^m+a^n=a^m+n}$

• $a^m÷a^n=a^m-n$