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# Algebra

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If we know that b(b^4 * b^5)^2 = b^x for all real numbers b, what is the value of x?

Jul 8, 2022

#1
+14082
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What is the value of x?

Hello Guest!

$$b(b^4 \cdot b^5)^2 = b^x\\ b\cdot b^8\cdot b^{10} = b^x\\ b^{1+8+10}=b^x\\ b^{19}=b^x\\ \color{blue}x=19$$

!

Jul 8, 2022