Which of the following is the inverse of F(x) = 2 x + 3?

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Ответ:

bollipard1183

05.11.2020

Mathematics

$x=a^{2} -b^{2}$

Step-by-step explanation:

By properties of logarithms we know that:

log(m)+log(n)=log(m*n)

So, we can write the equation as:

log(x) = log(a + b) + log(a − b)

log(x) =log((a+b)(a-b))

If we multiply (a+b)(a-b) we get $a^{2} -b^{2}$ , so:

log(x) =log( $a^{2} -b^{2}$ )

Finally, $10^{log(m)}=m$ , so we can isolate x as:

$10^{log(x)} =10^{log(a^{2}-b^{2})}$

$x=a^{2} -b^{2}$

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