Question

Log5(625p) если log5p -4.2

Answer 1

Log₅(625p)=?, если log₅p=-4,2
log₅(625p)=log₅625+log₅p=4+(-4,2)=4-4,2=-0,2→ответ).
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Answer 2

To solve the expression log5(625p), we can use the logarithmic property that states:

log_b(xy) = log_b(x) + log_b(y)

Since we know that log5(p) = -4.2, we can rewrite log5(625p) as follows:

log5(625p) = log5(625) + log5(p)

Now, let's calculate the individual logarithms:

1. log5(625): Since 625 is 5^4 (625 = 5 * 5 * 5 * 5), the logarithm is 4:

log5(625) = 4

2. log5(p): We were given that log5(p) = -4.2

Now, let's substitute these values back into the expression:

log5(625p) = log5(625) + log5(p) = 4 + (-4.2)

Finally, add the values:

log5(625p) = -0.2

So, log5(625p) is approximately equal to -0.2.