Final answer:
To expand a logarithmic expression on a calculator, use the LOG button for common logarithms or the LN button for natural logarithms. Calculate inverse logarithms using the inverse functions combined with LOG for common or e^x for natural logs.
Step-by-step explanation:
Expanding a logarithmic expression using a calculator requires understanding how to use the logarithm functions available on most scientific calculators. For the common logarithm (log base 10), you would use the LOG button.
To expand a logarithmic expression means to rewrite it in a way that makes it simpler to understand or calculate, for example, using properties of logarithms such as the product, quotient, and power rules. However, when using a calculator, you typically calculate the value of a logarithm rather than expand it algebraically.
To calculate the inverse logarithm, which means finding the original number from its logarithm, you would generally use the inverse function (sometimes labeled as INV or SHIFT), combined with the LOG button, to compute 10^x, where x is the common logarithm of the number. Similarly, for the natural logarithm, use the LN button on your calculator.
To find the number from its natural logarithm, use the inverse LN function, which is usually achieved by calculating e^x, where x is the natural logarithm of the number.