Respuesta :

One property of logarithms is that you can use the small number under the log and raise it by the number on the other side of the log. Once the number raised, the log will disappear. You can then solve like normal.

Ver imagen onika92

The value of m is -4 and 3/4.

What is logarithm?

In mathematics, the logarithm exists as the inverse function to exponentiation. That represents the logarithm of a provided number x exists the exponent to which another fixed number, the base b, must be raised, to produce that number x.

we know this logarithmic law :-

[tex]log_1_0P=x[/tex]

converted to indices :-

[tex]10^x=P[/tex]

therefore,

[tex]log_1_0(2m^{2} + 5m -2) = 10^{1}[/tex]

2m²+ 5m-2=0

2m²+8m-3m-12 =0

2m(m+4)-3(m+4) =0

(m+4) (2m-4) =0

m = -4 or m= 3/4

The value of m is -4 and 3/4.

To learn more about logarithm refer to:

https://brainly.com/question/12049968

#SPJ2

Otras preguntas