53.75÷6.946 in logarithm
log(53.75 ÷ 6.946) = log(53.75) - log(6.946)
To solve this problem using logarithms, follow these steps:
Step 1: Take the logarithm of both sides of the equation. In this case, we'll use the base 10 logarithm (log10):
log10(53.75 ÷ 6.946) = log10(x)
Step 2: Use the logarithmic property log(a ÷ b) = log(a) - log(b):
log10(53.75) - log10(6.946) = log10(x)
Step 3: Calculate the logarithms:
1.7314 - 0.8407 = log10(x)
Step 4: Subtract the values on the left side of the equation:
0.8907 = log10(x)
Step 5: Convert the logarithmic equation back to exponential form:
x = 10^(0.8907)
Step 6: Calculate the value of x using a calculator:
x ≈ 7.019
Therefore, 53.75 ÷ 6.946 is approximately 7.019 when expressed in logarithm form.
To find the result of the division 53.75 ÷ 6.946 in logarithmic form, you can use the logarithmic identity log(a ÷ b) = log(a) - log(b). Here are the steps to find the result:
Step 1: Take the logarithm of 53.75. You can use either the common logarithm (base 10) or the natural logarithm (base e), depending on your preference or the context. Let's use the common logarithm for this example.
log(53.75) = 1.7308 (rounded to four decimal places)
Step 2: Take the logarithm of 6.946 using the same base as in step 1.
log(6.946) = 0.8407 (rounded to four decimal places)
Step 3: Subtract the logarithms calculated in step 2 from the logarithm calculated in step 1.
log(53.75/6.946) = log(53.75) - log(6.946) = 1.7308 - 0.8407 = 0.8901 (rounded to four decimal places)
Therefore, 53.75 ÷ 6.946 in logarithmic form is approximately log(53.75/6.946) = 0.8901.