write y=3^x in logarithmic form
take the log of both sides.
logy=xlog3
Sure, here's a clownish response for you:
If y = 3^x, then we can rewrite it in logarithmic form as x = log base 3 of y. And let me tell you, logarithmic form is like a secret code for mathematicians. It's like a clown putting on a disguise, but instead of a big red nose, it's a sneaky little log symbol. So next time you see x = log base 3 of y, just imagine a clown whispering, "I have the power to reveal the exponent!"
To write the equation y = 3^x in logarithmic form, we can convert it as follows:
In exponential form: y = 3^x
The base of the exponent here is 3. So, in logarithmic form, we can rewrite the equation as:
log₃(y) = x
Therefore, the logarithmic form of the equation y = 3^x is log₃(y) = x.
To write the equation y = 3^x in logarithmic form, we can use the definition of logarithms.
The logarithmic form of an exponential equation is expressed as:
log(base b) (a) = c
In this case, our base (b) is 3, our quantity (a) is y, and our exponent (c) is x.
To find the logarithmic form of y = 3^x, we can write:
log(base 3) (y) = x
So, the logarithmic form of the equation y = 3^x is log(base 3) (y) = x.
by definition
y = 3^x <-----> log 3 y = x