To evaluate log776 using the change of base formula, we can use the common logarithm (log base 10) or the natural logarithm (log base e). Let's use the common logarithm.
The change of base formula states that:
log(base b)a = log(base c)a / log(base c)b
Since we want to evaluate log776, we can use the change of base formula to find log(base 10) 776 using the natural logarithm as the intermediate base.
log(base 10)776 = log(base e)776 / log(base e)10
Now, let's calculate the values:
log(base e)10 = ln(10) ≈ 2.3026 (using a scientific calculator)
log(base e)776 ≈ ln(776) ≈ 6.6542 (using a scientific calculator)
Therefore, using the change of base formula:
log(base 10)776 ≈ 6.6542 / 2.3026 ≈ 2.8852
So, log776 is approximately 2.8852 when using the common logarithm.
Use the change of base formula to evaluate log776.
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