Question

find the value of a
22
$find \: the \: value \: of \: x \\ {3}^{2x + 3} = 1$
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Answer 1

hey mate,

${3}^{2x + 3} = 1$

${3}^{(2x +3 )} = {3}^{0} {by heat trial$

$when \: the \: base \: are \: same \: the \: power \: are \: also \: equa$

$2x + 3 = 0$

2x=-3

x=-3÷2

I hope it helps u ❤❣

Answer 2

Here,we have to find out the appropriate value of x

Given expression,

$\sf{3 {}^{2x + 3} = 1 }$

CONCEPT:

We know that any number to the power of zero is one

Implies,

If a is any number,

$\sf{a {}^{0} = 1 }$

Thus,

$3 ^{0} = 1$

Substituting it in the given expression,we get:

$\sf{3 {}^{2x + 3} = 3 {}^{0} } \\ \\ \implies \: \sf{2x + 3 = 0} \\ \\ \implies \: \boxed{\sf{x = \frac{ - 3}{2} }}$

The values of x would be -3/2