Anti Logarithm Formula Is there any formula to calculate anti logarithm just using simple calculator.. I already know how to calculate logarithm digit by digit exactly just like this What is the best way to calculate log without a calculator? But how to calculate the antilog like antilog(0.456)=10^0.456=2.857590 using simple calculator..

I would use Taylor polynomial. In case of function $f(x)=10^x,$ you have
$$f(x)=1+x\ln10+\frac{(x\ln10)^2}{2!}+\frac{(x\ln10)^3}{3!}+\frac{(x\ln10)^4}{4!}+\cdots$$
For a decent approximation, it is usually enough to use first 6 or 7 elements of the series. In this particular case
$$10^{0.456}\approx1+.456*2.3026+\frac{(.456*2.3026)^2}{2}+\frac{(.456*2.3026)^3}{6}+\frac{(.456*2.3026)^4}{24}+\frac{(.456*2.3026)^5}{120}+\frac{(.456*2.3026)^6}{720}=2.8572\ldots$$
Another idea that comes to mind is using Newton's method.
[edit]
Calculating $a^b$ using Newton's method would look like this:
Step 1: Choose an initial value (your best guess) $x_0$
Step 2: Calculate $x_{n+1}=x_n-(\log_a x_0-b)x_0\ln a$
Step 3: Repeat step 2 until satisfied with the approximation.
Your example:
$$x_0=3$$
$$x_1=3-(\log 3-0.456)3\ln 10=2.8541$$
$$x_2=2.8541-(\log 2.8541-0.456)2.8541\ln 10=2.85759$$
This method requires fewer steps to achieve the same precision level but the steps are more complex, especially if you are calculating the logarithms by hand (or using a simple calculator).
