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Len [333]
2 years ago
13

How do I solve 3= log8+3log x?

Mathematics
1 answer:
taurus [48]2 years ago
3 0

<span>3 = log(8) + log(x³) </span>

<span>When adding logs, you are multiplying the terms altogether. </span>

<span>3 = log(8x³) </span>

<span>Then, by log_a b = n ==> aⁿ = b: </span>

<span>10³ = 8x³ [Since the base is not given, I assume that the base is 10] </span>
<span>1000 = 8x³ </span>

<span>Finally, solve for x. </span>

<span>1000/8 = x³ </span>
<span>x³ = 125 </span>
<span>x = (125)^(1/3) . . .Set both sides to the power of 1/3. </span>
<span>x = 5 </span>

<span>Hence, x = 5. </span>
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