Which of the following exponential equations is equivalent to the logarithmic equation below? log750=x
![Which of the following exponential equations is equivalent to the logarithmic equation below log750x class=](https://us-static.z-dn.net/files/db8/e52bb959b5eff8b569510cce252f8dec.png)
For this case we must indicate an expression equivalent to:
[tex]log (750) = x[/tex]
For properties of logarithm we have to:
[tex]log_ {b} (x) = y[/tex]is equivalent, in its exponential form to:
[tex]b ^ y = x[/tex], where [tex]x> 0, b> 0[/tex] and b different from 1.
In this case:
[tex]b = 10\\x = 750\\y = x[/tex]
So:
[tex]10 ^ x = 750[/tex]
ANswer:
Option D