Question

Log8 64= log5 625= log3 1/27= log1/2 1/512= log10 1000=

Answer 1

Log8 64=2
log5 625=4
log3 1/27=-3
log1/2 1/512=9
log10 1000=3

Answer 2

Let's calculate each expression one by one:

1. Log8 64: Logarithm base 8 of 64 is the exponent to which we raise 8 to get 64. Since 8 raised to the power of 2 equals 64, we have log8 64 = 2.

2. Log5 625: Logarithm base 5 of 625 is the exponent to which we raise 5 to get 625. Since 5 raised to the power of 4 equals 625, we have log5 625 = 4.

3. Log3 (1/27): Logarithm base 3 of (1/27) is the exponent to which we raise 3 to get (1/27). Since (1/27) can be written as 3 raised to the power of -3, we have log3 (1/27) = -3.

4. Log(1/2) (1/512): Logarithm base (1/2) of (1/512) is the exponent to which we raise (1/2) to get (1/512). Since (1/2) raised to the power of 9 equals (1/512), we have log(1/2) (1/512) = 9.

5. Log10 1000: Logarithm base 10 of 1000 is the exponent to which we raise 10 to get 1000. Since 10 raised to the power of 3 equals 1000, we have log10 1000 = 3.

Therefore, the values are as follows: log8 64 = 2 log5 625 = 4 log3 (1/27) = -3 log(1/2) (1/512) = 9 log10 1000 = 3