Math Problem Statement
Si log 7 = 0,8451, calcule log 70.
Solution
The problem asks to calculate given that .
We can solve this by using the property of logarithms that allows us to break down as:
We know from the problem that , and we also know that , since the logarithm of 10 in base 10 is always 1. Therefore:
So, the value of is approximately 1.8451.
Would you like further details on this solution, or do you have any questions?
Here are 5 related questions for further practice:
- How would you calculate given ?
- What is the value of using properties of logarithms?
- Can you find using the same logarithmic rules?
- If , what is ?
- How would you use logarithms to simplify ?
Tip: Remember, logarithms transform products into sums, quotients into differences, and powers into products to make complex calculations simpler.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Properties of Logarithms
Logarithmic Addition
Formulas
log(a * b) = log a + log b
Theorems
Properties of Logarithms
Suitable Grade Level
Grades 9-11