use common logarithms and calculator to evaluate to 4 decimal place.

log24^301

301 log 24 =415.4436

Log 24^301 = 301 Log 24

Log 24 = Log 24/ Log 10 (Change of Base Theorem)
so just multiply Log 24/ Log 10 by 301.

301log24=301log(8*3)=301(log8+log3)=

301(3log2 + log3) log2 and log3 I memorized when I was in the seventh grade, .3010, and .4771

So you can do this now on your mom's checkbook calculator.

I was puzzled by the notation too Patryk.

To evaluate log base 10 with a calculator, you can use the common logarithm function, which is usually denoted as log10 or simply "log" on most calculators. Here's how you can solve the expression log24^301 using common logarithms and a calculator:

1. Start by entering the value 24 into the calculator.
2. Press the "log" or "log10" button on your calculator to find the common logarithm of 24.
3. The calculator should display the value of log10(24).
4. Multiply the result by 301 to evaluate log10(24) * 301.
5. The calculator should display the product of log10(24) and 301.
6. Finally, round the result to 4 decimal places.

Please note that the exact value of log10(24) * 301 cannot be expressed as a simple fraction or whole number; it is an irrational number. However, you can obtain an approximation using the steps above.