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tigry1 [53]
1 year ago
6

Solve the following exponential equation

="TexFormula1" title="3 {}^{2x } - 9 = 0" alt="3 {}^{2x } - 9 = 0" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
77julia77 [94]1 year ago
8 0

Answer:

x = 1

Step-by-step explanation:

Given exponential equation:

3^{2x}-9=0

Add 9 to both sides of the equation:

\implies 3^{2x}-9+9=0+9

\implies 3^{2x}=9

\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:

\implies \left(3^2\right)^{x}=9

\implies9^{x}=9

\textsf{Apply exponent rule} \quad a=a^1:

\implies9^{x}=9^1

\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):

\implies x=1

sattari [20]1 year ago
3 0
3*2x-3*2=0
2x-2=0
2x=2|:2
x=1
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