- #1
seiferseph
- 102
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if log2 = x and log3 = y, solve for log(base5)36 in terms of x and y.
how do i even get started on this? I'm really confused with logs.
how do i even get started on this? I'm really confused with logs.
Last edited:
Muzza said:Do you realize that your original question is about log_5(10), but the handwritten thing you posted now is about log_5(36)?
Logarithms are mathematical functions that help us solve equations involving exponential expressions. They answer the question, "What power do we need to raise this number to in order to get another number?" For example, the logarithm of 100 to the base 10 is 2, because 10 raised to the power of 2 is 100.
Logarithms are useful in science because they allow us to transform multiplicative relationships into additive relationships. This makes it easier to analyze data and perform calculations. They are also commonly used in scientific fields such as chemistry, physics, and biology.
Natural logarithms use the base e, which is an irrational number approximately equal to 2.718. Common logarithms use the base 10. While natural logarithms are commonly used in calculus and advanced mathematics, common logarithms are often used in practical applications and can be found on most scientific calculators.
To solve a logarithmic equation, you must use the properties of logarithms to rewrite the equation in a simpler form. Then, you can solve for the variable using algebraic techniques. It is important to check your solutions to make sure they are valid in the original equation.
Logarithms are used in a variety of real-world applications, including earthquake magnitude scales, pH scale for measuring acidity, and sound intensity levels. They are also used in finance, population growth models, and radioactive decay calculations.