Exercise
$2\log_{10}\left(5\right)+2\log_{10}\left(2\right)+1$
Step-by-step Solution
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression 2log(5)+2log(2)+1. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=2, b=10 and x=2. The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. Multiply 25 times 4. Decompose 100 in it's prime factors.
Condense the logarithmic expression 2log(5)+2log(2)+1
Final answer to the exercise
$3$