Mathematics: Solve the exponential equation using logarithmic properties y=3^2x-4The 2x is an exponent

Solve the exponential equation using logarithmic

Ответ:

richard376

29.01.2022

Mathematics

$\frac{log(y+4)}{2log3}$

Step-by-step explanation:

Given the exponential equation $y = 3^{2x}+4$ , to get 2x, we will make 2x the subject of the formula as shown;

$y = 3^{2x}-4\\y+4 = 3^{2x}\\taking\ log\ of\ both\ sides\\log(y+4) = log3^{2x}\\ log(y+4) = 2xlog3\\dividing\ both\ sides\ by\ 2log 3\\\ x = \frac{log(y-4)}{2log3} \\$

The last expression gives the required value of x

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Ответ:

lilo1841

09.11.2022

Mathematics

Perimeter - a line that continues around a geometric shape

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Solve the exponential equation using logarithmic properties y=3^2x-4

The 2x is an exponent

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