Math Problem Statement

Si log 7 = 0,8451, calcule log 70.

Solution

The problem asks to calculate log70\log 70 given that log7=0.8451\log 7 = 0.8451.

We can solve this by using the property of logarithms that allows us to break down log70\log 70 as:

log70=log(7×10)=log7+log10\log 70 = \log (7 \times 10) = \log 7 + \log 10

We know from the problem that log7=0.8451\log 7 = 0.8451, and we also know that log10=1\log 10 = 1, since the logarithm of 10 in base 10 is always 1. Therefore:

log70=0.8451+1=1.8451\log 70 = 0.8451 + 1 = 1.8451

So, the value of log70\log 70 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:

  1. How would you calculate log700\log 700 given log7=0.8451\log 7 = 0.8451?
  2. What is the value of log0.7\log 0.7 using properties of logarithms?
  3. Can you find log14\log 14 using the same logarithmic rules?
  4. If log7=0.8451\log 7 = 0.8451, what is log49\log 49?
  5. How would you use logarithms to simplify log0.07\log 0.07?

Tip: Remember, logarithms transform products into sums, quotients into differences, and powers into products to make complex calculations simpler.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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