Question

lim x tends to 0 (7^x - 5^x) / x​

Answer 1

Answer:

log(7/5)

Step-by-step explanation:

• lim x tends to 0 (7^x-5^x)/x
• lim x tends to 0 (7^x-1-5^x+1)/x
• lim x tends to 0 ((7^x-1)/x - (5^x-2)/x)
• = lim x tends to 0 7^x log 7 - 5^x log 5
• log 7 - log 5
• log(7/5)