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Find the inverse of y=0.3^x

Due by May 29 and I’m terrible at math, so if you could also explain that’d be absolutely wonderful!

Respuesta :

Answer:

x = ln y / ln 3.

Step-by-step explanation:

Finding the inverse means converting the equation to x = a function of y.

y = 0.3^x

Taking logs:

ln y = ln 0.3^x

By the laws of logs:

ln y =  x ln 0.3

x = ln y / ln 3 is the inverse.