Evaluate the given expressions (to two decimal places).
log 1.69 =123
log 2^512 = .09
log 2^1 = 0
log o.o46 =1.34
Thank you
check my earlier answers
things are getting worse except for the 152 ---512 typo
To evaluate the given expressions, we can use a calculator or a mathematical tool with a logarithm function. Let's go through each expression one by one.
1. log 1.69 = 123
To evaluate log 1.69, we need to find the logarithm of 1.69 to the base 10. Using a calculator, we find that log 1.69 is approximately 0.23, not 123. Therefore, we can conclude that the given evaluation is incorrect.
2. log 2^512 = 0.09
Here, we have to evaluate the logarithm of 2 raised to the power of 512, which means we need to find log 2^512. Using the exponent rule for logarithms, we can rewrite this expression as:
log 2^512 = 512 * log 2
Now, we need to find the value of log 2, which is approximately 0.30. Multiplying 512 by 0.30 gives us 153.60, not 0.09. Therefore, the given evaluation is incorrect.
3. log 2^1 = 0
In this case, we need to find the logarithm of 2 raised to the power of 1. Since any number raised to the power of 1 is itself, we have log 2^1 = log 2 = 0.30 (approximately). Thus, the given evaluation of 0 is correct.
4. log 0.046 = 1.34
To evaluate log 0.046, we need to find the logarithm of 0.046 to the base 10. Using a calculator, we find that log 0.046 is approximately -1.34, not 1.34. Therefore, the given evaluation is incorrect.
To summarize:
- log 1.69 is approximately 0.23, not 123.
- log 2^512 is approximately 153.60, not 0.09.
- log 2^1 is 0.30.
- log 0.046 is approximately -1.34, not 1.34.