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3 years ago

10

Solve algebraically 3^x= 243

2 answers:

MissTica3 years ago

4 0

$3^{x} = 243 \\ln(3^{x}) = ln(243) \\xln(3) = ln(243) \\\frac{xln(3)}{ln(3)} = \frac{ln(243)}{ln(3)} \\x = \frac{ln(243)}{ln(3)} \\x = \frac{ln(3^{5})}{ln(3)} \\x = \frac{5ln(3)}{ln(3)} \\x = 5$

scoray [572]3 years ago

3 0

3^x=243

so :

³log243=x
³log 3^5=x
x=5

or

5^√243
=3

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