use the properties to find the exact value'log_7(343.7 ^15)

log_7(343.7 ^15) = 15 log_7(343.7)

7^x = 343.7
x = ln 343.7/ln7 = 3.0010
log_7(343.7) = 3.0010
log_7(343.7 ^15) = 5155