Algebra Examples

Write in Exponential Form y = natural log of x
y=ln(x)y=ln(x)
Step 1
For logarithmic equations, logb(x)=ylogb(x)=y is equivalent to by=xby=x such that x>0x>0, b>0b>0, and b1b1. In this case, b=eb=e, x=xx=x, and y=yy=y.
b=eb=e
x=xx=x
y=yy=y
Step 2
Substitute the values of bb, xx, and yy into the equation by=xby=x.
ey=xey=x
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 [x2  12  π  xdx ]  x2  12  π  xdx