Can someone help solve this step by step

log2 4 + log2 (c-9) = 5

1 answer

using the properties of logs,
log2 4 + log2 (c-9) = 5
log2 (4*(c-9)) = 5
4(c-9) = 2^5 = 32
4c-36 = 32
c = 17

check: log2(4)+log2(8) = 2+3 = 5